{"id":260,"date":"2023-08-03T11:07:43","date_gmt":"2023-08-03T11:07:43","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af%e1%80%b8%e1%80%a1%e1%80%85%e1%80%ac%e1%80%b8%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-hypothesis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e\/"},"modified":"2023-08-03T11:07:43","modified_gmt":"2023-08-03T11:07:43","slug":"%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af%e1%80%b8%e1%80%a1%e1%80%85%e1%80%ac%e1%80%b8%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-hypothesis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af%e1%80%b8%e1%80%a1%e1%80%85%e1%80%ac%e1%80%b8%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-hypothesis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e\/","title":{"rendered":"\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"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u101e\u1031\u102c hypothesis testing \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 \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\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\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 \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a hypothesis test \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Proportion hypothesis testing<\/strong> \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f null hypothesis \u1000\u102d\u102f \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 \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 \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\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\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1015\u102b\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\u1021\u102c\u1038 \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1019\u103b\u102c\u1038\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a Hypothesis Testing Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1014\u102f\u1010\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\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>\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\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\u1021\u1005\u102c\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 \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\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<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\/\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\u1038\/\">\u1015\u102f\u1036\u1019\u103e\u1014\u103a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\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=\"ejemplo-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a Hypothesis Testing \u1014\u1019\u1030\u1014\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\u1001\u103c\u1004\u103a\u1038\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\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103c\u1004\u103a\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u101e\u1018\u1031\u102c\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u104e\u1004\u103a\u1038\u104f\u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u1030\u1021\u1006\u102d\u102f\u1021\u101b \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101b\u1031\u102c\u1002\u102b\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1010\u102d\u102f\u1000\u103a\u1016\u103b\u1000\u103a\u101e\u100a\u1037\u103a\u1006\u1031\u1038\u101e\u100a\u103a 70% \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u100a\u103a\u104b \u1013\u102c\u1010\u103a\u1001\u103d\u1032\u1001\u1014\u103a\u1038\u1010\u103d\u1004\u103a\u104a \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1000 \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1006\u1031\u1038\u104f \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u101a\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1006\u1031\u1038\u1000\u102d\u102f \u101c\u1030\u1014\u102c \u1041\u1040\u1040\u1040 \u104f\u1014\u1019\u1030\u1014\u102c\u1010\u103d\u1004\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u103c\u102e\u1038 \u101c\u1030 \u1046\u1044\u1041 \u1026\u1038 \u101e\u1000\u103a\u101e\u102c\u1015\u103b\u1031\u102c\u1000\u103a\u1000\u1004\u103a\u1038\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u104f \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u1015\u103c\u102f\u101b\u1014\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1021\u1006\u1004\u1037\u103a 5% \u101b\u103e\u102d\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1015\u1031\u102b\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/li>\n<\/ul>\n<p> \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\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\u104f <a href=\"https:\/\/statorials.org\/my\/null-\u1014\u103e\u1004\u1037\u103a-\u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\">null hypothesis \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038 hypothesis<\/a> \u1010\u102d\u102f\u1037\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-f7da8281eeecc022e2ec7daea6a9756e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: p=0,70\\\\[2ex] H_1:p\\neq 0,70 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"117\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1006\u1031\u1038\u101d\u102b\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u103b\u1031\u102c\u1000\u103a\u1000\u1004\u103a\u1038\u1021\u1031\u102c\u1004\u103a \u1000\u102f\u101e\u1001\u1032\u1037\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u101c\u1030\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\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-93865dbb1097265b35967f0138a51d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}=\\cfrac{641}{1000}=0,641\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"137\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \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 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\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-e689388b0a73e91c1e3d8812c2c4c42a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\displaystyle Z&amp;=\\frac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}}\\\\[2ex]Z&amp;=\\frac{0,641-0,70}{\\displaystyle\\sqrt{\\frac{0,70\\cdot (1-0,70)}{1000}}}  \\\\[2ex] Z&amp;=-4,07\\end{aligned}}\" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1019\u103e\u102c 0.05 \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \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\u1019\u103e\u102c 1.96 \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-f4aa318300c46315a36b7bbecbd57e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{0,025}=1,96\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -6px;\"><\/p>\n<\/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\/\">\u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a 0.05 \u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n<p> \u1014\u102d\u1002\u102f\u1036\u1038\u1001\u103b\u102f\u1015\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\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\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u101c\u1000\u103a\u1001\u1036\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-06104fc4aa1cf5269aa8bc841cc05a9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|-4,07|=4,07>1,96 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_0&#8243; title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 19&#8243; width=&#8221; 424&#8243; style=&#8221; vertical-align: -5px;&#8221; ><\/p>\n<\/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\/\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> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-dos-muestras\"><\/span> \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1005\u103a\u1001\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><\/h2>\n<p> <strong>\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f<\/strong> \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u100a\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c 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 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a hypothesis test \u104f null hypothesis \u101e\u100a\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038\u1016\u103c\u1005\u103a\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-5572e3ad602776be8957247415435ef5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: p_1=p_2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"93\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c \u101e\u102f\u1036\u1038\u1001\u102f\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a<\/p>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{l}H_1:p_1\\neq p_2\\\\[2ex]H_1:p_1&gt;p_2\\\\[2ex]H_1:p_1 The combined ratio of the two samples is calculated as follows:[latex]p=\\cfrac {x_1+x_2}{n_1+n_2}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{l}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...H_1:p_1&gt;p_2\\\\[2ex]H_1:p_1 The combined ratio\nPlease use \\mathaccent for accents in math mode.\nleading text: ...\\[2ex]H_1:p_1 The combined ratio of the two\nPlease use \\mathaccent for accents in math mode.\nleading text: ...combined of the two samples is calculated\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nImproper \\prevdepth.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\n\n<\/pre>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1005\u103a\u1001\u102f\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 \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\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-27dc38fa4280149a55c46c6753204c9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle \\frac{x_1}{n_1}-\\frac{x_2}{n_2}}{\\displaystyle \\sqrt{p(1-p)\\left(\\frac{1}{n_1}+\\frac{1}{n_2}\\right)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"214\" style=\"vertical-align: -52px;\"><\/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> \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1005\u103a\u1001\u102f\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-d7aa45c8899989487fb32dab51a8f7d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c 1 \u1010\u103d\u1004\u103a \u101b\u101c\u1012\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\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-de02251c2c969c17b8633e299d9a2244_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c 2 \u1010\u103d\u1004\u103a \u101b\u101c\u1012\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 1 \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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 2 \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-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> \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-k-muestras\"><\/span> k \u1014\u1019\u1030\u1014\u102c\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\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>k \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong> \u1010\u103d\u1004\u103a \u101b\u100a\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u1010\u1030\u100a\u102e\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1024\u1000\u102d\u1005\u1039\u1005\u101b\u1015\u103a\u1010\u103d\u1004\u103a null hypothesis \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038 hypothesis \u1010\u102d\u102f\u1037\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-77d7e13b427dd927953473a6bfbe9a55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\text{Todas las proporciones son iguales}\\\\[2ex] H_1: \\text{No todas las proporciones son iguales} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"341\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u1014\u1019\u1030\u1014\u102c\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\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-bd6eafe24ac6e33f95c11428cdf34b29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{\\displaystyle\\sum_{i=1}^k x_i}{\\displaystyle\\sum_{i=1}^k n_i}=\\cfrac{x_1+x_2+\\dots+x_k}{n_1+n_2+\\dots+n_k}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"250\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p> k \u1014\u1019\u1030\u1014\u102c\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 \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\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-bf14ba17db281bb65549da86f59a0b65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\chi^2 =\\sum_{i=1}^k \\frac{(x_i-e_i)^2}{e_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"146\" style=\"vertical-align: -21px;\"><\/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-7213d98c216b76fca752271158e4c7e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\chi^2 = \\frac{(x_1-e_1)^2}{e_1} +\\frac{(x_2-e_2)^2}{e_2} +\\dots+\\frac{(x_k-e_k)^2}{e_k}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"371\" style=\"vertical-align: -15px;\"><\/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> k \u1014\u1019\u1030\u1014\u102c\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\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a chi-square \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c i \u1010\u103d\u1004\u103a \u101b\u101c\u1012\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\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-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 i \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-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> \u1014\u1019\u1030\u1014\u102c\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1021\u1001\u103b\u102d\u102f\u1038\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-550848dfdd05b5c6464d4e22fbf52486_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c i \u1019\u103e \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c hit \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\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-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> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> .<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u101e\u1031\u102c hypothesis testing \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 \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\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\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 \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a hypothesis test \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b Proportion hypothesis testing \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f null hypothesis \u1000\u102d\u102f \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 \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 \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\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\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1015\u102b\u101e\u100a\u103a\u104b \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u102c\u1038 \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1019\u103b\u102c\u1038\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a Hypothesis [&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\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<\/title>\n<meta name=\"description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1021\u101a\u1030\u1021\u1006 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u104a \u104e\u1004\u103a\u1038\u104f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c \u1014\u103e\u1004\u1037\u103a 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\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" \/>\n<meta property=\"og:description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1021\u101a\u1030\u1021\u1006 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u104a \u104e\u1004\u103a\u1038\u104f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1021\u101a\u1030\u1021\u1006 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u104f \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1025\u1015\u1019\u102c \u1010\u1005\u103a\u101b\u1015\u103a \u1000\u102d\u102f \u1024\u1010\u103d\u1004\u103a \u101e\u1004\u103a \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u1019\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"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\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T11:07:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e2f5ad36dae72cd89279809ab3ea6d20_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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