{"id":269,"date":"2023-08-03T08:04:23","date_gmt":"2023-08-03T08:04:23","guid":{"rendered":"https:\/\/statorials.org\/my\/hypothesis-%e1%80%86%e1%80%94%e1%80%b7%e1%80%ba%e1%80%80%e1%80%bb%e1%80%84%e1%80%ba%e1%80%98%e1%80%80%e1%80%ba\/"},"modified":"2023-08-03T08:04:23","modified_gmt":"2023-08-03T08:04:23","slug":"hypothesis-%e1%80%86%e1%80%94%e1%80%b7%e1%80%ba%e1%80%80%e1%80%bb%e1%80%84%e1%80%ba%e1%80%98%e1%80%80%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/hypothesis-%e1%80%86%e1%80%94%e1%80%b7%e1%80%ba%e1%80%80%e1%80%bb%e1%80%84%e1%80%ba%e1%80%98%e1%80%80%e1%80%ba\/","title":{"rendered":"\u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1019\u100a\u103a\u104a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u1031\u1037\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-contraste-de-hipotesis\"><\/span> hypothesis test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>hypothesis test<\/strong> \u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1011\u102f\u1036\u1038\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1015\u103c\u1031\u102c\u1000\u103c\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1015\u103c\u102e\u1038 \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1015\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u1014\u1031\u104d \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103e\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u101e\u1031\u1001\u103b\u102c\u1005\u103d\u102c\u1019\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u1011\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u101b\u1015\u102b\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038 \u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a\u1015\u1004\u103a \u1021\u1019\u103e\u102c\u1038\u1010\u1005\u103a\u1001\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u1038\u101e\u100a\u103a\u104b<\/p>\n<p> \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f <strong>\u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong> \u104a <strong>\u1021\u101a\u1030\u1021\u1006\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <strong>\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong> \u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1021\u1004\u103a\u1039\u1002\u101c\u102d\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a Ronald Fisher \u1019\u103e \u1010\u100a\u103a\u1011\u1031\u102c\u1004\u103a\u1001\u1032\u1037\u1015\u103c\u102e\u1038 Jerzy Neyman \u1014\u103e\u1004\u1037\u103a Egon Pearson \u1010\u102d\u102f\u1037\u1019\u103e \u1011\u1015\u103a\u1019\u1036\u1010\u102e\u1011\u103d\u1004\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hipotesis-nula-e-hipotesis-alternativa\"><\/span> Null hypothesis \u1014\u103e\u1004\u1037\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1014\u103e\u1005\u103a\u1019\u103b\u102d\u102f\u1038\u1016\u103c\u1004\u1037\u103a \u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Null hypothesis (H <sub>0<\/sub> )<\/strong> : \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1000\u1014\u1026\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1019\u103e\u102c\u1038\u101a\u103d\u1004\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1011\u102d\u1014\u103a\u1038\u101e\u102d\u1019\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u101a\u1030\u1021\u1006\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a null hypothesis \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101c\u102d\u102f\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Alternative hypothesis (H <sub>1<\/sub> )<\/strong> : \u1021\u1019\u103e\u1014\u103a\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u101e\u1000\u103a\u101e\u1031\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u1031\u102c \u101e\u102f\u1010\u1031\u101e\u1014 \u1021\u101a\u1030\u1021\u1006\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c\u104a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101e\u102f\u1010\u1031\u101e\u102e\u104f\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a\u1019\u103e\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u101e\u1000\u103a\u101e\u1031\u1015\u103c\u101b\u1014\u103a\u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u101b\u1014\u103a\u104a \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f\u1006\u1031\u102c\u1004\u103a\u101b\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1012\u1031\u1010\u102c\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1021\u1010\u100a\u103a\u1015\u103c\u102f\u101b\u1014\u103a \u101b\u100a\u103a\u101b\u103d\u101a\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u100a\u103a \u1021\u1001\u103b\u100a\u103a\u1038\u1014\u103e\u102e\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u1010\u102d\u102f\u1004\u103a\u1019\u102e \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a null hypothesis \u1000\u102d\u102f \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u104d \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038 \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-contrastes-de-hipotesis\"><\/span> Hypothesis Testing \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Hypothesis test \u1000\u102d\u102f \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1014\u103e\u1005\u103a\u1019\u103b\u102d\u102f\u1038 \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Two-tailed hypothesis testing (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a two-tailed hypothesis testing)<\/strong> : hypothesis testing \u104f \u1021\u1001\u103c\u102c\u1038 hypothesis \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031 parameter \u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c value \u1014\u103e\u1004\u1037\u103a &#8220; \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a&#8221;  \u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>One-tailed hypothesis testing (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a one-tailed hypothesis testing)<\/strong> : \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a &#8220; \u1000\u103c\u102e\u1038\u101e\u100a\u103a&#8221;  (\u100a\u102c\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038) \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1021\u1031\u102c\u1000\u103a\u1019\u103c\u102e\u1038\u1011\u1000\u103a&#8221;  (\u1018\u101a\u103a\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038) \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u101f\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-20 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong>\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u101a\u1030\u1021\u1006 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4f0c1b65b50009900a6facbefea23ca1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu=\\mu_0\\\\[2ex]H_1:\\mu\\neq\\mu_0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong>One-tailed hypothesis testing (\u100a\u102c\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038)<\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1393df603c93485a0f75ebd0116c46a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu\\leq \\mu_0\\\\[2ex]H_1:\\mu>\\mu_0\\end{cases}&#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 65&#8243; width=&#8221; 102&#8243; style=&#8221; vertical-align: 0px;&#8221; ><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong><strong>One-tailed hypothesis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 (\u1018\u101a\u103a\u1021\u1019\u103c\u102e\u1038)<\/strong><\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-570fdfa44817f5392b33075476008f80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu\\geq\\mu_0\\\\[2ex]H_1:\\mu<\\mu_0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"region-de-rechazo-y-region-de-aceptacion-de-un-contraste-de-hipotesis\"><\/span> \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1019\u103e\u102f\u1012\u1031\u101e\u1014\u103e\u1004\u1037\u103a \u1021\u101a\u1030\u1021\u1006\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1014\u101a\u103a\u1019\u103c\u1031<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u1031\u1038\u1005\u102d\u1010\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a hypothesis testing \u1010\u103d\u1004\u103a hypothesis test \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u101d\u102d\u101e\u1031\u101e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1015\u102b\u101d\u1004\u103a\u1015\u103c\u102e\u1038 \u101a\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f hypothesis test statistics \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u103c\u102e\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u1014\u102d\u1002\u102f\u1036\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u101e\u1014\u103e\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1014\u1031\u101b\u102c\u104c \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u1000\u102d\u102f \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u1036\u101b\u101e\u100a\u1037\u103a\u1012\u1031\u101e (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1012\u1031\u101e)<\/strong> : \u1024\u101e\u100a\u103a\u1019\u103e\u102c null \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 (\u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u1001\u103c\u1004\u103a\u1038) \u1015\u102b\u101d\u1004\u103a\u101e\u1031\u102c \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1002\u101b\u1015\u103a\u104f \u1027\u101b\u102d\u101a\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1014\u101a\u103a\u1019\u103c\u1031<\/strong> : \u1024\u101e\u100a\u103a\u1019\u103e\u102c null hypothesis (\u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038) \u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u1031\u102c \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1002\u101b\u1015\u103a\u104f \u1027\u101b\u102d\u101a\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1015\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1019\u103e\u102f\u1007\u102f\u1014\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u101c\u1000\u103a\u1001\u1036\u1015\u102b\u101e\u100a\u103a\u104b \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1021\u1014\u1031\u1014\u103e\u1004\u1037\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1027\u101b\u102d\u101a\u102c\u1021\u1010\u103d\u1004\u103a\u1038 \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u104a \u1021\u1001\u103b\u100a\u103a\u1038\u1014\u103e\u102e\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/test-dhypothese-de-contraste.png\" alt=\"\u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\" class=\"wp-image-5660\" width=\"311\" height=\"600\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u101e\u104f \u1014\u101a\u103a\u1014\u102d\u1019\u102d\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103b\u1019\u103e\u1010\u103a\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f <strong>\u101d\u1031\u1016\u1014\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038<\/strong> \u101f\u102f \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104a \u1021\u101c\u102c\u1038\u1010\u1030\u1015\u1004\u103a\u104a \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u101e\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u1037\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f <strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong> \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b \u1014\u103e\u1004\u1037\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c <strong>\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a<\/strong> \u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\/\">\u1021\u101a\u103a\u101c\u103a\u1016\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u1019\u1030\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u101b\u1014\u103a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103e\u101b\u101b\u103e\u102d\u101e\u1031\u102c <strong>p-value<\/strong> (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a p-value) \u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u101c\u100a\u103a\u1038 \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b-<\/strong> <a href=\"https:\/\/statorials.org\/my\/p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\/\">p-value \u1000\u1018\u102c\u101c\u1032\u104b<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-contraste-de-hipotesis\"><\/span> hypothesis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1006\u1031\u102c\u1004\u103a\u101b\u103d\u1000\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a-<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038 hypothesis \u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u101c\u102d\u102f\u1001\u103b\u1004\u103a\u101e\u1031\u102c \u1021\u101a\u103a\u101c\u103a\u1016\u102c (\u03b1) \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1019\u103e\u102f\u1012\u1031\u101e\u1014\u103e\u1004\u1037\u103a \u1021\u101a\u1030\u1021\u1006\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1014\u101a\u103a\u1019\u103c\u1031\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u101a\u1030\u1021\u1006\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1019\u103e\u102f \u1012\u1031\u101e \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f \u1012\u1031\u101e\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1019\u103e\u102f\u1027\u101b\u102d\u101a\u102c\u1021\u1010\u103d\u1004\u103a\u1038 \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u104a \u1021\u1001\u103b\u100a\u103a\u1038\u1014\u103e\u102e\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1019\u100a\u103a (\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a)\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1007\u102f\u1014\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a (\u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u103a)\u104b<\/span> <\/li>\n<\/ol>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a-hypothesis-test\/\">\u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1018\u1031\u102c\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a-hypothesis-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a Hypothesis test \u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a-\u101a\u1030\u1006\u1001\u103b\u1000\u103a-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b\/\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"errores-de-un-contraste-de-hipotesis\"><\/span> \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1010\u103d\u1004\u103a\u104a \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1021\u1019\u103e\u102c\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1014\u1000\u103a\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Type I error<\/strong> : \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u1021\u1019\u103e\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a \u1021\u1019\u103e\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Type II error<\/strong> : \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u1019\u103e\u102c\u1038\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u1001\u103b\u102d\u1014\u103a\u1010\u103d\u1004\u103a null hypothesis \u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1021\u1019\u103e\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erreur-type-i-et-erreur-type-ii.png\" alt=\"type I error \u1014\u1032\u1037 type II error \u1015\u102b\u104b\" class=\"wp-image-5683\" width=\"456\" height=\"120\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1021\u1019\u103e\u102c\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1000\u103b\u1030\u1038\u101c\u103d\u1014\u103a\u101b\u1014\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Alpha probability (\u03b1)<\/strong> : \u101e\u100a\u103a \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 I \u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u1030\u1038\u101c\u103d\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1018\u102e\u1010\u102c\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 (\u03b2)<\/strong> : \u101e\u100a\u103a \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 II \u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u1030\u1038\u101c\u103d\u1014\u103a\u101b\u1014\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> \u1021\u101c\u102c\u1038\u1010\u1030\u1015\u1004\u103a\u104a \u1019\u103e\u102c\u1038\u101a\u103d\u1004\u103a\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a (H <sub>0<\/sub> ) \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1016\u103c\u1005\u103a <strong>\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1015\u102b\u101d\u102b\u1000\u102d\u102f<\/strong> \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u103e\u102c\u1038\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a (H <sub>1<\/sub> ) \u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1005\u103d\u1019\u103a\u1038\u1021\u102c\u1038\u101e\u100a\u103a 1-\u03b2 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"estadisticos-de-contrastes-de-hipotesis\"><\/span> Hypothesis Testing Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038<\/strong> \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u102c\u1038 \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u101e\u1010\u103d\u1004\u103a \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000 null hypothesis \u101e\u100a\u103a \u1015\u101a\u103a\u1001\u103b\u1001\u1036\u101b\u101e\u100a\u103a (\u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u1006\u102d\u102f\u1015\u102b\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a)\u104a \u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u102c\u1038 \u101c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1027\u101b\u102d\u101a\u102c\u1010\u103d\u1004\u103a \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a (\u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u101a\u1030\u1021\u1006\u1019\u103e\u102c \u1015\u101a\u103a\u1001\u103b\u101e\u100a\u103a)\u104b\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006)\u104b<\/p>\n<p> hypothesis test statistic \u104f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u101e\u100a\u103a test type \u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a hypothesis testing \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-media\"><\/span> \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u101e\u102d\u1019\u103e\u1010\u103a\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c<\/strong> &#8211;<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{\\sigma}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a hypothesis contrast statistic \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u101c\u1030\u1026\u1038\u101b\u1031\u1005\u1036\u1014\u103e\u102f\u1014\u103a\u1038\u101e\u103d\u1031\u1016\u100a\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u103c\u102e\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a \u101b\u101c\u1012\u103a\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u101f\u102f\u1010\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1014\u103e\u1005\u103a\u1016\u1000\u103a\u101e\u1018\u1031\u102c\u1010\u1030\u1015\u102b\u1000\u104a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1015\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Z <sub>\u03b1\/2<\/sub> \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u103d\u1000\u103a\u1006\u1001\u103b\u1000\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Z <sub>\u03b1<\/sub> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u103d\u1000\u103a\u1006\u1001\u103b\u1000\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1018\u101a\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 -Z <sub>\u03b1<\/sub> \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0e2ccadfc369eb7543b8f86dfccc528e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1019\u103e \u101b\u101a\u1030\u101e\u100a\u103a\u104b<\/p>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a <strong>\u1021\u1019\u100a\u103a\u1019\u101e\u102d\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u1019\u103e\u102c-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u101a\u1001\u1004\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1015\u1004\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u101e\u100a\u103a null \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1014\u103e\u1005\u103a\u1016\u1000\u103a\u101e\u1018\u1031\u102c\u1010\u1030\u1015\u102b\u1000\u104a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1015\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 t <sub>\u03b1\/2|n-1<\/sub> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u103d\u1000\u103a\u1006\u1001\u103b\u1000\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 t <sub>\u03b1|n-1<\/sub> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u103d\u1000\u103a\u1006\u1001\u103b\u1000\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1018\u101a\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 -t <sub>\u03b1|n-1<\/sub> \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31fb206b75a47181c7c673f54ba28ee8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |t|>t_{\\alpha\/2|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t>t_{\\alpha|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t<-t_{\\alpha|n-1} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"457\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u101e\u102d\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038\u1019\u103e \u101b\u101a\u1030\u101e\u100a\u103a\u104b <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-proporcion\"><\/span> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u1019\u103e\u102c-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e2f5ad36dae72cd89279809ab3ea6d20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"123\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a hypothesis test statistic \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-661a2bbf8dccd197bcf450330420cbc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -13px;\"><\/p>\n<p> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1019\u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u1015\u102b\u104a \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103e\u102c \u1014\u103e\u1005\u103a\u1016\u1000\u103a\u101e\u1018\u1031\u102c\u1010\u1030\u1015\u102b\u1000\u104a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1015\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Z <sub>\u03b1\/2<\/sub> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Z <sub>\u03b1<\/sub> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 -Z <sub>\u03b1<\/sub> \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d5bd583532769e3014286e8ffd94c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: p\\neq p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: p> p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: p< p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"437\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u1036\u1015\u102f\u1036\u1019\u103e\u1014\u103a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1019\u103e \u1021\u101c\u103d\u101a\u103a\u1010\u1000\u1030 \u101b\u101a\u1030\u1014\u102d\u102f\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u101b\u1015\u102b\u104b <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u1019\u103e\u102c-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> Chi-square \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1014\u103a\u104a \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103e\u102c \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u101d\u1031\u1016\u1014\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1014\u100a\u103a\u1038\u1014\u1031\u1015\u102b\u1000\u104a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1014\u100a\u103a\u1038\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/span> .<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f chi-square \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1019\u103e \u101b\u101a\u1030\u1015\u102b\u101e\u100a\u103a\u104b Chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 \u1021\u1014\u102f\u1010\u103a 1 \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1019\u100a\u103a\u104a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u1031\u1037\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b hypothesis test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b hypothesis test \u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1011\u102f\u1036\u1038\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1015\u103c\u1031\u102c\u1000\u103c\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1015\u103c\u102e\u1038 \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1015\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u1014\u1031\u104d \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103e\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u101e\u1031\u1001\u103b\u102c\u1005\u103d\u102c\u1019\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1021\u101a\u1030\u1021\u1006\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u1011\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a<\/title>\n<meta name=\"description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a 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