{"id":276,"date":"2023-08-03T05:14:26","date_gmt":"2023-08-03T05:14:26","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d9%86%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d8%a7%d8%aa\/"},"modified":"2023-08-03T05:14:26","modified_gmt":"2023-08-03T05:14:26","slug":"%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d9%86%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d8%a7%d8%aa","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d9%86%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d8%a7%d8%aa\/","title":{"rendered":"\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0646\u0633\u0628\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0644\u0644\u0646\u0633\u0628\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0646\u0627\u0633\u0628\u064a\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629<\/strong> (\u0623\u0648 <strong>\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628<\/strong> ) \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u062d\u0633\u0627\u0628 \u0646\u0633\u0628\u0629 \u0643\u0644 \u0639\u064a\u0646\u0629 \u0645\u062d\u062a\u0645\u0644\u0629 \u0645\u0646 \u0645\u062c\u062a\u0645\u0639 \u0645\u0627. \u0623\u064a \u0623\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0646\u0633\u0628\u0629-\u0627\u0644\u0639\u064a\u0646\u0629\/\">\u0646\u0633\u0628 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629<\/a> \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0645\u0646 \u0645\u062c\u062a\u0645\u0639 \u0645\u0627 \u062a\u0634\u0643\u0644 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u0648\u0632\u064a\u0639 \u0646\u0633\u0628\u0629 \u0627\u0644\u0639\u064a\u0646\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062f\u0631\u0627\u0633\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u062e\u062a\u064a\u0627\u0631\u0647\u0627 \u0645\u0646 \u0645\u062c\u062a\u0645\u0639 \u0645\u0627 \u0648\u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u0646\u0633\u0628\u0629 \u0627\u0644\u0639\u064a\u0646\u0629 \u0645\u0646 \u0643\u0644 \u0639\u064a\u0646\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0646\u0633\u0628 \u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629 \u062a\u0634\u0643\u0644 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u062a\u062a\u0633\u0627\u0621\u0644 \u0639\u0646 \u0627\u0644\u063a\u0631\u0636 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0646\u0633\u0628\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u0645\u0646 \u0642\u064a\u0645\u0629 \u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0639\u0646\u062f \u062a\u062d\u0644\u064a\u0644 \u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629. <\/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\/\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0639\u064a\u0646\u0627\u062a-\u0644\u0644\u0645\u062a\u0648\u0633\u0637\/\">\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\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=\"formula-de-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0635\u064a\u063a\u0629 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0646\u0627\u0633\u0628\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0639\u0646\u062f\u0645\u0627 \u0646\u062f\u0631\u0633 \u0646\u0633\u0628\u0629 \u0645\u0646 \u0627\u0644\u0639\u064a\u0646\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0646\u062c\u0627\u062d. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0641\u064a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u064a\u062a\u0628\u0639 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646-1\/\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/a> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u060c \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0643\u0628\u064a\u0631\u0629 (n&gt;30) \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0642\u0631\u064a\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. \u0648\u0644\u0630\u0644\u0643\u060c <strong>\u0641\u0625\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u064a\u0642\u062a\u0631\u0628 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/strong><\/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-f3408076893f390bb65baecfe38e6eff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{p}=p \\qquad \\sigma_{p}=\\sqrt{\\frac{pq}{n}}\\\\[4ex]\\displaystyle N_{p}\\left(p, \\sqrt{\\frac{pq}{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"168\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/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-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\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0641\u0634\u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0644\u0627\u062d\u0638\u0629:<\/strong> \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u0642\u0631\u064a\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0625\u0644\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646<\/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-88e275a965c091eb810599a07b0f8d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>30&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;52&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-41130f51ca4b83f1bf25b9dde90ecbfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"np\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0af2ac5b6eb874f65b406b3bc39f0c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"nq\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> . <\/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\u0644\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0637\u0628\u064a\u0639\u064a\/\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/a><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0628\u0645\u0627 \u0623\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u064a\u0645\u0643\u0646 \u062a\u0642\u0631\u064a\u0628\u0647 \u0625\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u060c <strong>\u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0623\u064a \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u062a\u0639\u0644\u0642 \u0628\u0646\u0633\u0628\u0629 \u0627\u0644\u0639\u064a\u0646\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-5b7a4224240587268d0dd7865a33ac31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"78\" 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=\"margin-bottom:5px;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=\"margin-bottom:5px;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 \u0645\u0646 \u0627\u0644\u0633\u0643\u0627\u0646.<\/li>\n<li style=\"margin-bottom:5px;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-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0641\u0634\u0644 \u0627\u0644\u0633\u0643\u0627\u0646\u060c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px;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=\"margin-bottom:5px;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 \u0645\u062a\u063a\u064a\u0631 \u064a\u062d\u062f\u062f\u0647 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0642\u064a\u0627\u0633\u064a N(0,1). <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0645\u062b\u0627\u0644 \u0645\u0644\u0645\u0648\u0633 \u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0646\u0627\u0633\u0628\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0631\u0623\u064a\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0646\u0627\u0633\u0628\u0629 \u0648\u0645\u0627 \u0647\u064a \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0647\u060c \u064a\u062a\u0645 \u062a\u0642\u062f\u064a\u0645 \u0645\u062b\u0627\u0644 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0623\u062f\u0646\u0627\u0647 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0634\u062a\u0631\u064a \u0634\u0631\u0643\u0629 \u0635\u0646\u0627\u0639\u064a\u0629 \u062f\u0641\u0639\u0627\u062a \u0645\u0646 \u0627\u0644\u0623\u062c\u0632\u0627\u0621 \u0645\u0646 \u0645\u0635\u0646\u0639 \u064a\u062f\u0639\u064a \u0623\u0646\u0647 \u064a\u0646\u062a\u062c \u0627\u0644\u0623\u062c\u0632\u0627\u0621 \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0623\u062c\u0632\u0627\u0621 \u0645\u0639\u064a\u0628\u0629 \u0628\u0646\u0633\u0628\u0629 3\u066a \u0641\u0642\u0637. \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0630\u0644\u0643\u060c \u0642\u0631\u0631\u062a \u0627\u0644\u0634\u0631\u0643\u0629 \u062a\u062d\u0644\u064a\u0644 \u0637\u0644\u0628\u064a\u0629 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 500 \u0642\u0637\u0639\u0629. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0623\u0643\u062b\u0631 \u0645\u0646 5% \u0623\u062c\u0632\u0627\u0621 \u0645\u0639\u064a\u0628\u0629 \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629\u061f<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u0633\u0628\u0629 \u0627\u0644\u0633\u0643\u0627\u0646 \u0627\u0644\u0630\u064a\u0646 \u0646\u0631\u063a\u0628 \u0641\u064a \u062f\u0631\u0627\u0633\u062a\u0647\u0645 \u0647\u064a 0.03\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 q \u062a\u0639\u0627\u062f\u0644 0.97.<\/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-f4354c268853ec7b592bcacd23f3b214_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}p=0,03\\\\[2ex]q=1-p=0,97\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"130\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0630\u064a \u064a\u0637\u0644\u0628\u0648\u0646\u0647 \u0645\u0646\u0627\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0633\u0627\u0628\u0642:<\/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-647d67d275bb8a7fbeb60f7ae464c0fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}=\\cfrac{0,05-0,03}{\\displaystyle\\sqrt{\\frac{0,03\\cdot 0,97}{500}}}=2,62\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"264\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0623\u0643\u062b\u0631 \u0645\u0646 5% \u0645\u0646 \u0627\u0644\u0623\u062c\u0632\u0627\u0621 \u0627\u0644\u0645\u0639\u064a\u0628\u0629 \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \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-a5e5cff61f2cc97762df561b3e35a7ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\left[\\widehat{p}>0,05\\right]=P[Z>2,62]=1-P[Z\\leq 2,62]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;360&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0628\u062d\u062b \u0639\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 P[Z\u22642.62] \u0641\u064a <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 Z<\/a> \u0648\u0646\u062d\u0633\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0637\u0644\u0628 \u0645\u0646\u0627 \u0627\u0644\u0645\u0634\u0643\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-812f9b97c53e15da88b0cb7149f254c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P\\left[\\widehat{p}>0,05\\right]=\\\\[2ex]=P[Z>2,62]=\\\\[2ex]=1-P[Z\\leq 2,62]=\\\\[2ex]=1-0,9956=\\\\[2ex]=0,0044\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;167&#8243; width=&#8221;162&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0623\u0643\u062b\u0631 \u0645\u0646 5\u066a \u0623\u062c\u0632\u0627\u0621 \u0645\u0639\u064a\u0628\u0629 \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u062d\u0644\u064a\u0644\u0647\u0627 \u0647\u0648 0.44\u066a.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0644\u0644\u0646\u0633\u0628\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0646\u0627\u0633\u0628\u064a\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628\u0629\u061f \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 (\u0623\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628 ) \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u062d\u0633\u0627\u0628 \u0646\u0633\u0628\u0629 \u0643\u0644 \u0639\u064a\u0646\u0629 \u0645\u062d\u062a\u0645\u0644\u0629 \u0645\u0646 \u0645\u062c\u062a\u0645\u0639 \u0645\u0627. \u0623\u064a \u0623\u0646 \u0646\u0633\u0628 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a [&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 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u0646\u0627\u0633\u0628\u064a\u0629<\/title>\n<meta name=\"description\" content=\"\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629 \u0648\u0635\u064a\u063a\u062a\u0647 \u0648\u0645\u062b\u0627\u0644 \u0645\u0644\u0645\u0648\u0633 \u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u064a\u0646\u0629 \u0644\u0644\u0646\u0633\u0628\u0629.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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