{"id":259,"date":"2023-08-03T11:07:43","date_gmt":"2023-08-03T11:07:43","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d8%a7%d9%84%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d9%84%d9%84%d8%aa%d9%86%d8%a7%d8%b3%d8%a8\/"},"modified":"2023-08-03T11:07:43","modified_gmt":"2023-08-03T11:07:43","slug":"%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d8%a7%d9%84%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d9%84%d9%84%d8%aa%d9%86%d8%a7%d8%b3%d8%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d8%a7%d9%84%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d9%84%d9%84%d8%aa%d9%86%d8%a7%d8%b3%d8%a8\/","title":{"rendered":"\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u062a\u0646\u0627\u0633\u0628"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0646\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0644\u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0644\u0646\u0633\u0628\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062a\u0645\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0646\u0633\u0628\u0629<\/strong> \u0647\u0648 \u0637\u0631\u064a\u0642\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0623\u0645 \u0644\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u0648\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629\u060c \u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0623\u0648 \u0642\u0628\u0648\u0644\u0647\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0642\u062f \u064a\u064f\u0637\u0644\u0642 \u0639\u0644\u064a\u0647 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u0645 \u062a\u0646\u0627\u0642\u0636\u0627\u062a \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a\u060c \u0623\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a\u060c \u0623\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0623\u0647\u0645\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u0635\u064a\u063a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0641\u0631\u0642 \u0641\u064a \u0646\u0633\u0628\u0629 \u0627\u0644\u0639\u064a\u0646\u0629 \u0645\u0637\u0631\u0648\u062d\u064b\u0627 \u0645\u0646\u0647\u0627 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0642\u062a\u0631\u062d\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0644\u0646\u0633\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0635\u064a\u063a\u0629 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0644\u0646\u0633\u0628\u0629<\/strong> \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0646\u0633\u0628\u0629 \u0627\u0644\u0639\u064a\u0646\u0629<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0642\u062a\u0631\u062d\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0644\u0646\u0633\u0628\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0636\u0639 \u0641\u064a \u0627\u0639\u062a\u0628\u0627\u0631\u0643 \u0623\u0646\u0647 \u0644\u0627 \u064a\u0643\u0641\u064a \u062d\u0633\u0627\u0628 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629\u060c \u0648\u0644\u0643\u0646 \u064a\u062c\u0628 \u0628\u0639\u062f \u0630\u0644\u0643 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u0630\u0648 \u0648\u062c\u0647\u064a\u0646\u060c \u0641\u0633\u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0644\u0644\u0625\u062d\u0635\u0627\u0621 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 Z <sub>\u03b1\/2<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u064a\u062a\u0637\u0627\u0628\u0642 \u0645\u0639 \u0627\u0644\u0630\u064a\u0644 \u0627\u0644\u0623\u064a\u0645\u0646\u060c \u0641\u0633\u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 Z <sub>\u03b1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u064a\u0637\u0627\u0628\u0642 \u0627\u0644\u0630\u064a\u0644 \u0627\u0644\u0623\u064a\u0633\u0631\u060c \u0641\u0633\u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0642\u0644 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 -Z <sub>\u03b1<\/sub> .<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062d\u0631\u062c\u0629 \u0628\u0633\u0647\u0648\u0644\u0629 \u0645\u0646 \u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. <\/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;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u062c\u062f\u0648\u0644-\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0637\u0628\u064a\u0639\u064a\/\">\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0631\u0649 \u062a\u0639\u0631\u064a\u0641 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0644\u062a\u0646\u0627\u0633\u0628 \u0648\u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u062a\u0647\u060c \u0633\u0646\u062d\u0644 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0641\u0642\u0627 \u0644\u0644\u0634\u0631\u0643\u0629 \u0627\u0644\u0645\u0635\u0646\u0639\u0629 \u0644\u0647\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0648\u0627\u0621 \u0636\u062f \u0645\u0631\u0636 \u0645\u0639\u064a\u0646 \u0641\u0639\u0627\u0644 \u0628\u0646\u0633\u0628\u0629 70\u066a. \u0648\u0641\u064a \u0627\u0644\u0645\u062e\u062a\u0628\u0631 \u0646\u0642\u0648\u0645 \u0628\u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u0639\u0627\u0644\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0648\u0627\u0621 \u062d\u064a\u062b \u064a\u0639\u062a\u0642\u062f \u0627\u0644\u0628\u0627\u062d\u062b\u0648\u0646 \u0623\u0646 \u0627\u0644\u0646\u0633\u0628\u0629 \u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0644\u0647\u0630\u0627 \u062a\u0645 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062f\u0648\u0627\u0621 \u0639\u0644\u0649 \u0639\u064a\u0646\u0629 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 1000 \u0645\u0631\u064a\u0636 \u0648\u062a\u0645 \u0634\u0641\u0627\u0621 641 \u0634\u062e\u0635\u064b\u0627. \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u0631\u0636\u064a \u0639\u0644\u0649 \u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0628\u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 5% \u0644\u0631\u0641\u0636 \u0623\u0648 \u0639\u062f\u0645 \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0628\u0627\u062d\u062b\u064a\u0646.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0641\u0631\u0636\u064a\u0629-\u0627\u0644\u0635\u0641\u0631\u064a\u0629-\u0648\u0627\u0644\u0628\u062f\u064a\u0644\u0629\/\">\u062a\u0643\u0648\u0646 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0648\u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0628\u062f\u064a\u0644\u0629<\/a> \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0646\u0633\u0628\u0629 \u0627\u0644\u0623\u0634\u062e\u0627\u0635 \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u0630\u064a\u0646 \u062a\u0645 \u0634\u0641\u0627\u0624\u0647\u0645 \u0628\u0627\u0644\u062f\u0648\u0627\u0621 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062d\u0633\u0627\u0628 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0623\u0639\u0644\u0627\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0628\u0645\u0627 \u0623\u0646 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0647\u0648 0.05 \u0648\u0647\u0630\u0627 \u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u0631\u0636\u064a\u0629 \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0637\u0631\u0641\u060c \u0641\u0625\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0647\u064a 1.96. <\/p>\n<p style=\";text-align:right;direction:rtl\">\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;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0645\u0633\u062a\u0648\u0649-\u0627\u0644\u062f\u0644\u0627\u0644\u0629-\u0627\u0648-\u0627\u0644\u0627\u0647\u0645\u064a\u0647\/\">\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 0.05<\/a><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645 \u0641\u0625\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0644\u0630\u0644\u0643 \u0646\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0648\u0646\u0642\u0628\u0644 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0628\u062f\u064a\u0644\u0629. <\/p>\n<p style=\";text-align:right;direction:rtl\">\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;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a-\u0644\u0644\u0645\u062a\u0648\u0633\u0637\/\">\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0648\u0633\u0637<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-dos-muestras\"><\/span> \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0639\u064a\u0646\u062a\u064a\u0646<\/strong> \u0644\u0631\u0641\u0636 \u0623\u0648 \u0642\u0628\u0648\u0644 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0626\u0644\u0629 \u0628\u0623\u0646 \u0646\u0633\u0628 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u062a\u064a\u0646 \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0628\u064a\u0646\u0645\u0627 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0628\u062f\u064a\u0644\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0623\u062d\u062f \u062b\u0644\u0627\u062b\u0629 \u062e\u064a\u0627\u0631\u0627\u062a:<\/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 style=\";text-align:right;direction:rtl\"> \u0648\u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u062a\u064a\u0646 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u062a\u064a\u0646.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 1.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 2.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 1.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 2.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u062c\u0645\u0639\u0629 \u0644\u0644\u0639\u064a\u0646\u062a\u064a\u0646. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-k-muestras\"><\/span> \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u0629 k<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u062d\u0648\u0644 \u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u0627\u062a k\u060c<\/strong> \u064a\u0643\u0648\u0646 \u0627\u0644\u0647\u062f\u0641 \u0647\u0648 \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062c\u0645\u064a\u0639 \u0646\u0633\u0628 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0633\u0643\u0627\u0646\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0623\u0648\u060c \u0639\u0644\u0649 \u0627\u0644\u0639\u0643\u0633 \u0645\u0646 \u0630\u0644\u0643\u060c \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 \u0646\u0633\u0628 \u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0639\u0644\u064a\u0647 \u0641\u0625\u0646 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0648\u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0628\u062f\u064a\u0644\u0629 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0647\u0645\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u062c\u0645\u0639\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u0629 k \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\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;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u0629 k. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u062a\u062a\u0628\u0639 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u062a\u0648\u0632\u064a\u0639 \u0645\u0631\u0628\u0639 \u0643\u0627\u064a.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 i.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 \u0623\u0646\u0627.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u064a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u062c\u0645\u0639\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a.<\/li>\n<li style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0632\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0645\u0646 \u0627\u0644\u0639\u064a\u0646\u0629 i. \u0648\u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647 \u0628\u0636\u0631\u0628 \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u062c\u0645\u0639\u0629<\/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> \u062d\u0633\u0628 \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629<\/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>\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0646\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0644\u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0644\u0644\u0646\u0633\u0628\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062a\u0645\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644. \u0645\u0627 \u0647\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0644\u0644\u0646\u0633\u0628\u0629\u061f \u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0646\u0633\u0628\u0629 \u0647\u0648 \u0637\u0631\u064a\u0642\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u064a\u062a\u0645 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0623\u0645 \u0644\u0627. \u0644\u0630\u0644\u0643\u060c \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 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