{"id":280,"date":"2023-08-03T03:50:30","date_gmt":"2023-08-03T03:50:30","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-%d0%b4%d0%bb%d1%8f-%d1%80%d0%b0%d0%b7%d0%bd%d0%b8%d1%86%d1%8b-%d0%b2\/"},"modified":"2023-08-03T03:50:30","modified_gmt":"2023-08-03T03:50:30","slug":"%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-%d0%b4%d0%bb%d1%8f-%d1%80%d0%b0%d0%b7%d0%bd%d0%b8%d1%86%d1%8b-%d0%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-%d0%b4%d0%bb%d1%8f-%d1%80%d0%b0%d0%b7%d0%bd%d0%b8%d1%86%d1%8b-%d0%b2\/","title":{"rendered":"\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0434\u0432\u0443\u0445 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439, \u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span> \u041a\u0430\u043a\u043e\u0432 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445<\/strong> \u2014 \u044d\u0442\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044e\u0449\u0438\u0439 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043c\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u043c\u0435\u0436\u0434\u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u043c\u0438 \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u043c \u0443\u0440\u043e\u0432\u043d\u0435\u043c \u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u043e\u0441\u0442\u0438 \u0443\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043c\u0435\u0436\u0434\u0443 \u0434\u043e\u043b\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043c\u0435\u0436\u0434\u0443 \u0434\u043e\u043b\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439 \u043f\u0440\u0438 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 95% \u0440\u0430\u0432\u0435\u043d (0,07, 15), \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0434\u043e\u043b\u044f\u043c\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u043e\u0442 7% \u0434\u043e 15% \u0441 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c\u044e 95%.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u0446\u0435\u043d\u043a\u0438 \u0434\u0432\u0443\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u043c\u0435\u0436\u0434\u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u043c\u0438 \u0441\u0432\u044f\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0434\u043e\u043b\u044f\u043c\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043e\u0431\u0438\u0440\u0430\u044e\u0442\u0441\u044f \u0434\u0432\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0438, \u0438 \u043f\u043e \u044d\u0442\u0438\u043c \u0434\u0430\u043d\u043d\u044b\u043c \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u0431\u043b\u0438\u0437\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043c\u0435\u0436\u0434\u0443 \u0434\u043e\u043b\u044f\u043c\u0438 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b-\u0434\u043b\u044f-\u0440\u0430\u0437\u043d\u0438\u0446\u044b-\u0441\u0440\u0435\u0434\u043d\u0438\u0445\/\">\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439.<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439<\/strong> \u0441 \u0443\u0440\u043e\u0432\u043d\u0435\u043c \u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u043e\u0441\u0442\u0438 1-\u03b1 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0417\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ad10d8ae9a51401d94ca9742249d6d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2013 \u044d\u0442\u043e \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u0430\u044f \u0434\u043e\u043b\u044f i.<\/li>\n<li style=\"margin-bottom:5px\">\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> \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 i.<\/li>\n<li style=\"margin-bottom:7px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6f8ee37ecf97c2a7c7d6dbe8fddddc27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -8px;\"><\/p>\n<p> \u2014 \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0433\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u03b1\/2. \u0414\u043b\u044f \u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0438 \u0443\u0440\u043e\u0432\u043d\u044f \u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u043e\u0441\u0442\u0438 95% \u043e\u043d\u043e \u043e\u0431\u044b\u0447\u043d\u043e \u0431\u043b\u0438\u0437\u043a\u043e \u043a 1,96, \u0430 \u0434\u043b\u044f \u0443\u0440\u043e\u0432\u043d\u044f \u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u043e\u0441\u0442\u0438 99% \u043e\u043d\u043e \u043e\u0431\u044b\u0447\u043d\u043e \u0431\u043b\u0438\u0437\u043a\u043e \u043a 2,576. <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b-\u0434\u043b\u044f-\u0434\u043e\u043b\u0438\/\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0434\u043b\u044f \u0434\u043e\u043b\u0438<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-del-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span> \u041a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0432\u0438\u0434\u0435\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445 \u0438 \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445.<\/p>\n<ul>\n<li> \u041c\u044b \u0445\u043e\u0442\u0438\u043c \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0434\u043e\u043b\u0438 \u043b\u0435\u0432\u0448\u0435\u0439, \u0442\u043e\u0447\u043d\u0435\u0435, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0443\u0437\u043d\u0430\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043c\u0435\u0436\u0434\u0443 \u0434\u043e\u043b\u0435\u0439 \u043b\u0435\u0432\u0448\u0435\u0439 \u043c\u0435\u0436\u0434\u0443 \u043c\u0443\u0436\u0447\u0438\u043d\u0430\u043c\u0438 \u0438 \u0436\u0435\u043d\u0449\u0438\u043d\u0430\u043c\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u0437\u044f\u0442\u0430 \u0432\u044b\u0431\u043e\u0440\u043a\u0430 \u0438\u0437 60 \u043c\u0443\u0436\u0447\u0438\u043d \u0438 \u0432\u044b\u0431\u043e\u0440\u043a\u0430 \u0438\u0437 67 \u0436\u0435\u043d\u0449\u0438\u043d, \u0441\u0440\u0435\u0434\u0438 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 5 \u043c\u0443\u0436\u0447\u0438\u043d \u0438 7 \u0436\u0435\u043d\u0449\u0438\u043d \u043b\u0435\u0432\u0448\u0438. \u041a\u0430\u043a\u043e\u0432 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445 \u043f\u0440\u0438 \u0443\u0440\u043e\u0432\u043d\u0435 \u0434\u043e\u0441\u0442\u043e\u0432\u0435\u0440\u043d\u043e\u0441\u0442\u0438 95%?<\/li>\n<\/ul>\n<p> \u0414\u043b\u044f \u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0434\u043e\u043b\u044e \u043b\u0435\u0432\u0448\u0435\u0439 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0438:<\/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-f71fe6b5e11cf7be2650ac723d4b69b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}=\\cfrac{5}{60}=0,083\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"128\" style=\"vertical-align: -12px;\"><\/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-43a2b255ab56c94be8d1227a1d532449_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_2}=\\cfrac{7}{67}=0,104\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"128\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u0432\u044b\u0448\u0435, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0442\u0430\u043a:<\/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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 Z <sub>\u03b1<\/sub> \/2. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f <a href=\"https:\/\/statorials.org\/ru\/\u0442\u0430\u0431\u043b\u0438\u0446\u0430-\u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\/\">\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435\u0439 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<\/a> .<\/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-776a555edd1d064cf29a3a354caa5325_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-\\alpha=0,95 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"534\" style=\"vertical-align: -5px;\"><\/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-54dda39d0da5b29f2d25728b89565859_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}Z_{\\alpha\/2}= \\ \\color{orange}\\bm{?}\\\\[4ex]Z_{0,025}=1,96\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"71\" width=\"127\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0434\u0430\u043d\u043d\u044b\u0435 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439: <\/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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/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-697c9979fadd5a4a87952cdf3015109d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (0,083-0,104)\\pm 1,96\\cdot \\sqrt{\\frac{0,083\\cdot(1-0,083)}{60}+\\frac{0,104\\cdot(1-0,104)}{67}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"526\" style=\"vertical-align: -13px;\"><\/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-0bb29f1bd8a63bf3114dd54c95fd7b53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -0,021\\pm  0,101\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"121\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445 \u0437\u0430\u0434\u0430\u0447 \u0440\u0430\u0432\u0435\u043d: <\/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-2b782f75c52b6dd00e8a46ea43b612e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-0,122 \\ , \\ 0,08)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"><\/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> <strong>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430-\u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b-\u043d\u0430-\u0440\u0430\u0437\u043d\u0438\u0446\u0443-\u0432-\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445\/\">\u041f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437 \u043d\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u044f\u0445.<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0434\u0432\u0443\u0445 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0439, \u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. \u041a\u0430\u043a\u043e\u0432 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b 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