{"id":320,"date":"2023-08-02T13:08:08","date_gmt":"2023-08-02T13:08:08","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%81%e1%80%bb%e1%80%ae%e1%80%85%e1%80%90%e1%80%af%e1%80%9b%e1%80%94%e1%80%ba%e1%80%b8-%e1%81%82-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba\/"},"modified":"2023-08-02T13:08:08","modified_gmt":"2023-08-02T13:08:08","slug":"%e1%80%81%e1%80%bb%e1%80%ae%e1%80%85%e1%80%90%e1%80%af%e1%80%9b%e1%80%94%e1%80%ba%e1%80%b8-%e1%81%82-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%81%e1%80%bb%e1%80%ae%e1%80%85%e1%80%90%e1%80%af%e1%80%9b%e1%80%94%e1%80%ba%e1%80%b8-%e1%81%82-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba\/","title":{"rendered":"Chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\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 \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b Chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u100a\u103a\u1038 \u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\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-la-prueba-chi-cuadrado\"><\/span> Chi square test \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Chi-square test<\/strong> \u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u101a\u102f\u1010\u1039\u1010\u102d\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b\/\">chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f<\/a> \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1015\u102b\u1019\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<p> \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f <strong>Pearson chi-square test<\/strong> \u101f\u102f\u1001\u1031\u102b\u103a\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u103a\u1039\u1000\u1031\u1010\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u103a- <strong>\u03c7\u00b2 test<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-chi-cuadrado\"><\/span> Chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a <strong>chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\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-ca52fc2f501a2bff49c05e6c321e242e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\chi^2=\\sum_{i=1}^k\\frac{(O_i-E_i)^2}{E_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"154\" style=\"vertical-align: -21px;\"><\/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\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030 \u1014\u1031\u102c\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c chi-square \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<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7dfca2445cd362ac42fb9032c9cf2367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1012\u1031\u1010\u102c\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-434bc05ea7818e67065a4f690de03718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"O_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a i \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-a1e6cfc87bb6b00130570c8c9f348b98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038 i \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u104f null hypothesis \u104f null hypothesis \u101e\u100a\u103a \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u104b<\/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-3ef850ed6bba6d33fed54194e3e675e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0:O_i=E_i \\quad \\forall i\\\\[2ex]H_1:\\exists \\ O_i\\neq E_i \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1012\u102e\u1010\u1031\u102c\u1037 \u1021\u101b\u1031\u1038\u1015\u102b\u1010\u1032\u1037 \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u1011\u102c\u1038\u1010\u101a\u103a\u104b<\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> null hypothesis \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\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\u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u102c\u1038 \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\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u1004\u1037\u103a\u101e\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\u1000\u101a\u103a\u104d \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\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\u1014\u1031\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-63233cd2098dd4d4be73a18d4ab3df18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|k-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"66\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1015\u101a\u103a\u1001\u103b\u101e\u100a\u103a (\u1014\u103e\u1004\u1037\u103a null hypothesis \u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a)\u104b<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1000\u101a\u103a\u104d \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\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\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-63233cd2098dd4d4be73a18d4ab3df18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|k-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"66\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \u104a null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u101e\u100a\u103a (\u1021\u1001\u103c\u102c\u1038 \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u101e\u100a\u103a)\u104b <\/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-6b48f7bb620dca865b7e652e81cc247a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\text{Si } \\chi^2<\\chi^2_{1-\\alpha|k-1}\\text{ se rechaza } H_1\\\\[3ex]\\text{Si } \\chi^2>\\chi^2_{1-\\alpha|k-1}\\text{ se rechaza } H_0\\end{array}&#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 70&#8243; width=&#8221; 243&#8243; style=&#8221; vertical-align: 0px;&#8221; ><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-prueba-chi-cuadrado\"><\/span> \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1025\u1015\u1019\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u101f\u1030\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103c\u1004\u103a\u1015\u103c\u102e\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u103c\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1005\u1010\u102d\u102f\u1038\u1006\u102d\u102f\u1004\u103a\u1015\u102d\u102f\u1004\u103a\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u1000 \u101e\u1030\u104f\u101b\u1031\u102c\u1004\u103a\u1038\u1021\u102c\u1038\u104f 50% \u101e\u100a\u103a \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a A \u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u104f\u101b\u1031\u102c\u1004\u103a\u1038\u1021\u102c\u1038 35% \u101e\u100a\u103a \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a B \u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u104f\u101b\u1031\u102c\u1004\u103a\u1038\u1021\u102c\u1038\u104f 15% \u101e\u100a\u103a \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a C \u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1015\u103c\u1031\u102c\u1000\u103c\u102c\u1038\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u101e\u100a\u1037\u103a\u101a\u1030\u1014\u1005\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u1004\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b <a href=\"https:\/\/statorials.org\/my\/\u1021\u101b\u1031\u1038\u1015\u1031\u102b\u103a\u1007\u101a\u102c\u1038\/\">\u1021\u101b\u1031\u1038\u1015\u1031\u102b\u103a\u1007\u101a\u102c\u1038<\/a> \u1010\u103d\u1004\u103a\u104b \u1015\u102d\u102f\u1004\u103a\u101b\u103e\u1004\u103a\u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1012\u1031\u1010\u102c\u101e\u100a\u103a \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1010\u103a\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1015\u102b\u104b<\/li>\n<\/ul>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> \u1021\u101b\u1031\u102c\u1004\u103a\u1038 (O <sub>i<\/sub> )<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a A<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1044\u1045\u1043<\/td>\n<\/tr>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a B<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1042\u1046\u1048<\/td>\n<\/tr>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a C<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1047\u1049<\/td>\n<\/tr>\n<tr>\n<td> \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1048\u1040\u1040<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1005\u1010\u102d\u102f\u1038\u1006\u102d\u102f\u1004\u103a\u1015\u102d\u102f\u1004\u103a\u101b\u103e\u1004\u103a\u1019\u103e\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u101e\u100a\u1037\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u1019\u103e\u102f\u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1015\u1031\u1038\u101e\u100a\u103a-<\/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-cfd0d5e1cc7a049ddd825c5db9eb4bec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}E_A=800\\cdot 0,5=400\\\\[2ex]E_B=800\\cdot 0,35=280\\\\[2ex]E_A=800\\cdot 0,15=120\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1015\u103c\u103f\u1014\u102c\u104f <a href=\"https:\/\/statorials.org\/my\/\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b\/\">\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1001\u103d\u1032\u101d\u1031\u1019\u103e\u102f\u1007\u101a\u102c\u1038\u1019\u103e\u102c<\/a> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> \u1021\u101b\u1031\u102c\u1004\u103a\u1038 (O <sub>i<\/sub> )<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u1019\u103e\u102f (E <sub>i<\/sub> )<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a A<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1044\u1045\u1043<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1044\u1040\u1040<\/td>\n<\/tr>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a B<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1042\u1046\u1048<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1042\u1048\u1040<\/td>\n<\/tr>\n<tr>\n<td> \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a C<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1047\u1049<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1041\u1042\u1040<\/td>\n<\/tr>\n<tr>\n<td> \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1048\u1040\u1040<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u1048\u1040\u1040<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u103c\u102e\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/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-8c76621fbe8504217dfe8ac55b2d6e67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\chi^2=\\sum_{i=1}^k\\frac{(O_i-E_i)^2}{E_i}\\\\[6ex]\\chi^2=\\cfrac{(453-400)^2}{400}+\\cfrac{(268-280)^2}{280}+\\cfrac{(79-120)^2}{120}\\\\[6ex]\\chi^2=7,02+0,51+14,00\\\\[6ex]\\chi^2=21,53\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"252\" width=\"372\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\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 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \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\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a chi-square \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a\u104a<\/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-d7ae885b62b57867e96527f583044991_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k-1=3-1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u104a \u1012\u102b\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1010\u1032\u1037\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1019\u101a\u103a\u1006\u102d\u102f\u101b\u1004\u103a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-76d20f2945704d6640a4b9986b8b7c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"69\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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-1850e764fc71b1e7b49b0c4d8133ab89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|k-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[4ex]\\chi^2_{0,95|2}=5,991\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"199\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 (21.53) \u101e\u100a\u103a \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 (5.991) \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\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\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1012\u1031\u1010\u102c\u101e\u100a\u103a \u1021\u101c\u103d\u1014\u103a\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1005\u1010\u102d\u102f\u1038\u1006\u102d\u102f\u1004\u103a\u1015\u102d\u102f\u1004\u103a\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u1011\u1000\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b <\/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-90430933949106828df9b184b6215225_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"21,53>5,991 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_0&#8243; title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 17&#8243; width=&#8221; 354&#8243; style=&#8221; vertical-align: -4px;&#8221; ><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-de-la-prueba-chi-cuadrado\"><\/span> \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Chi square test \u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u101e\u100a\u103a<\/strong> \u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1016\u103c\u1004\u1037\u103a\u101e\u102c \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \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<p> \u101a\u102f\u1010\u1039\u1010\u102d\u1017\u1031\u1012\u1021\u101b\u104a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u101e\u1031\u1038\u1004\u101a\u103a\u101c\u1031\u104a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1012\u1031\u1010\u102c\u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1010\u1030\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u101e\u100a\u103a 0 \u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1010\u102d\u1021\u1000\u103b\u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\u104a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u101c\u1031\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u101e\u102d\u102f\u1037\u101b\u102c\u1010\u103d\u1004\u103a\u104a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1030\u100a\u102e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a null hypothesis \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a\u104a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\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 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\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\u104a \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 \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\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 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\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 \u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b Chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u100a\u103a\u1038 \u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Chi square test \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b Chi-square test \u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c 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\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1015\u102b\u1019\u100a\u103a\u104b \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f Pearson chi-square test \u101f\u102f\u1001\u1031\u102b\u103a\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a [&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 Chi 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