{"id":281,"date":"2023-08-03T03:02:31","date_gmt":"2023-08-03T03:02:31","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d0%b2-%d0%bf%d1%80%d0%be%d0%bf%d0%be\/"},"modified":"2023-08-03T03:02:31","modified_gmt":"2023-08-03T03:02:31","slug":"%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d0%b2-%d0%bf%d1%80%d0%be%d0%bf%d0%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d0%b2-%d0%bf%d1%80%d0%be%d0%bf%d0%be\/","title":{"rendered":"\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445"},"content":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445. \u0412\u0438 \u0442\u0430\u043a\u043e\u0436 \u0434\u0456\u0437\u043d\u0430\u0454\u0442\u0435\u0441\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u0443 \u0432\u043f\u0440\u0430\u0432\u0443. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-diferencia-de-proporciones\"><\/span> \u0429\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439<\/strong> \u2014 \u0446\u0435 \u043c\u0435\u0442\u043e\u0434, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0442\u044f \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0442\u0435, \u0449\u043e \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0457 \u0434\u0432\u043e\u0445 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439 \u0440\u0456\u0437\u043d\u0456. \u0422\u043e\u0431\u0442\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u0447\u0438 \u0454 \u0434\u0432\u0456 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u0440\u0456\u0432\u043d\u0438\u043c\u0438 \u0447\u0438 \u043d\u0456.<\/p>\n<p> \u041c\u0430\u0439\u0442\u0435 \u043d\u0430 \u0443\u0432\u0430\u0437\u0456, \u0449\u043e \u0440\u0456\u0448\u0435\u043d\u043d\u044f, \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0456 \u043f\u0456\u0434 \u0447\u0430\u0441 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438, \u0431\u0430\u0437\u0443\u044e\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u043e\u043f\u0435\u0440\u0435\u0434\u043d\u044c\u043e \u0432\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u043e\u043c\u0443 \u0440\u0456\u0432\u043d\u0456 \u0434\u043e\u0441\u0442\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456, \u0442\u043e\u043c\u0443 \u043d\u0435\u043c\u043e\u0436\u043b\u0438\u0432\u043e \u0433\u0430\u0440\u0430\u043d\u0442\u0443\u0432\u0430\u0442\u0438, \u0449\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0437\u0430\u0432\u0436\u0434\u0438 \u0431\u0443\u0434\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0438\u043c, \u0430 \u0441\u043a\u043e\u0440\u0456\u0448\u0435, \u0449\u043e \u0446\u0435 \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448 \u0456\u043c\u043e\u0432\u0456\u0440\u043d\u0438\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u044f\u043a\u0438\u0439 \u0454 \u0456\u0441\u0442\u0438\u043d\u043d\u0438\u043c. <\/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>\u0414\u0438\u0432\u0456\u0442\u044c\u0441\u044f:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0440\u0456\u0432\u0435\u043d\u044c-\u0432\u043f\u0435\u0432\u043d\u0435\u043d\u043e\u0441\u0442\u0456\/\">\u042f\u043a\u0438\u0439 \u0440\u0456\u0432\u0435\u043d\u044c \u0434\u043e\u0432\u0456\u0440\u0438? (\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430)<\/a><\/div>\n<p> \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0434\u0432\u043e\u0445 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0430\u0454 \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0457 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0442\u0430 \u043f\u043e\u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f \u0457\u0457 \u0437 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c, \u0449\u043e\u0431 \u0432\u0456\u0434\u0445\u0438\u043b\u0438\u0442\u0438 \u043d\u0443\u043b\u044c\u043e\u0432\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0443 \u0447\u0438 \u043d\u0456. \u041d\u0438\u0436\u0447\u0435 \u043c\u0438 \u0434\u0435\u0442\u0430\u043b\u044c\u043d\u043e \u043f\u043e\u044f\u0441\u043d\u0438\u043c\u043e, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445.<\/p>\n<p> \u0417\u0440\u0435\u0448\u0442\u043e\u044e, \u043f\u0430\u043c\u2019\u044f\u0442\u0430\u0439\u0442\u0435, \u0449\u043e \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u0435 \u043d\u0430\u0437\u0438\u0432\u0430\u0442\u0438\u0441\u044f \u043f\u0440\u043e\u0442\u0438\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044f\u043c \u0433\u0456\u043f\u043e\u0442\u0435\u0437, \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u043e\u044e \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0430\u0431\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u043e\u044e \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456. <\/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>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430-\u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438-\u043d\u0430-\u0440\u0456\u0437\u043d\u0438\u0446\u044e-\u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445\/\">\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-diferencia-de-proporciones\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<\/strong> \u0434\u0432\u043e\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0456\u0439 \u043c\u0430\u0454 \u0432\u0438\u0433\u043b\u044f\u0434:<\/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-161267e1562535b8ded23017389e0807_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle (\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle \\sqrt{p_0(1-p_0)\\left(\\frac{1}{n_1}+\\frac{1}{n_2}\\right)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"229\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-023bcfb3fa329ff4f481163d36b65bf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0447\u0430\u0441\u0442\u043a\u0430 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1a0ac2d00900c29ac35c13956874c642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0447\u0430\u0441\u0442\u043a\u0430 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f 2.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4c76b176c372799a3a3a7aa8858eecf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0447\u0430\u0441\u0442\u043a\u0430 \u0437\u0440\u0430\u0437\u043a\u0430 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cd7916af5298a603fad64ab8fb2501a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f 2.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 2.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ccd892ed2f60029f47331cf785d30482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0443\u043a\u0443\u043f\u043d\u0430 \u0447\u0430\u0441\u0442\u043a\u0430 \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432.<\/li>\n<\/ul>\n<p> \u041a\u043e\u043c\u0431\u0456\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442 \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\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-6f349422474d622468a6a14f445f2eb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_0=\\cfrac{x_1+x_2}{n_1+n_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"102\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \u0437\u043e\u043b\u043e\u0442\u043e<\/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-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> \u2013 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456\u0432 \u0443 \u0432\u0438\u0431\u0456\u0440\u0446\u0456 iy<\/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> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 i. <\/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>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0434\u043e\u0432\u0456\u0440\u0447\u0438\u0438-\u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b-\u0434\u043b\u044f-\u0440\u0456\u0437\u043d\u0438\u0446\u0456-\u0432-\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445\/\">\u0414\u043e\u0432\u0456\u0440\u0447\u0438\u0439 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-diferencia-de-proporciones\"><\/span> \u041a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0429\u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0437\u0440\u043e\u0437\u0443\u043c\u0456\u0442\u0438, \u0449\u043e \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0430\u0454 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u043d\u0438\u0436\u0447\u0435 \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0446\u044c\u043e\u0433\u043e \u0442\u0438\u043f\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438.<\/p>\n<ul>\n<li> \u041c\u0438 \u0445\u043e\u0447\u0435\u043c\u043e \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0456\u0437\u0443\u0432\u0430\u0442\u0438, \u0447\u0438 \u0454 \u0441\u0443\u0442\u0442\u0454\u0432\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u0432 \u0435\u0444\u0435\u043a\u0442\u0456 \u0434\u0432\u043e\u0445 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0456\u0432, \u0449\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u043e\u0434\u043d\u0456\u0454\u0457 \u0445\u0432\u043e\u0440\u043e\u0431\u0438. \u0414\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u043e\u0434\u0438\u043d \u0456\u0437 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0456\u0432 \u043d\u0430\u043d\u043e\u0441\u044f\u0442\u044c \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u0443 \u0437 60 \u043f\u0430\u0446\u0456\u0454\u043d\u0442\u0456\u0432 \u0456 48 \u043e\u0441\u0456\u0431 \u043e\u0434\u0443\u0436\u0443\u044e\u0442\u044c. \u0417 \u0456\u043d\u0448\u043e\u0433\u043e \u0431\u043e\u043a\u0443, \u0456\u043d\u0448\u0438\u0439 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442 \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0430\u043d\u043e \u0434\u043e \u0437\u0440\u0430\u0437\u043a\u0430 \u0437 65 \u043f\u0430\u0446\u0456\u0454\u043d\u0442\u0456\u0432, \u0456 55 \u043e\u0434\u0443\u0436\u0430\u043b\u0438. \u0412\u0438\u043a\u043e\u043d\u0430\u0439\u0442\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0437 5% \u0440\u0456\u0432\u043d\u0435\u043c \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456, \u0449\u043e\u0431 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0447\u0438 \u0432\u0456\u0434\u0440\u0456\u0437\u043d\u044f\u0454\u0442\u044c\u0441\u044f \u0432\u0456\u0434\u0441\u043e\u0442\u043e\u043a \u043b\u044e\u0434\u0435\u0439, \u044f\u043a\u0456 \u0432\u0438\u043b\u0456\u043a\u0443\u0432\u0430\u043b\u0438\u0441\u044f \u0432\u0456\u0434 \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0443.<\/li>\n<\/ul>\n<p> \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043d\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0434\u043b\u044f \u0446\u0456\u0454\u0457 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u0441\u043a\u043b\u0430\u0434\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u043e\u0457 \u043d\u0443\u043b\u044c\u043e\u0432\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0442\u0430 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\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-06d3762df12e74f2c5204a5e57f4e451_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: p_1-p_2=0\\\\[2ex] H_1:p_1-p_2\\neq 0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e \u0447\u0430\u0441\u0442\u043a\u0443 \u043a\u043e\u0436\u043d\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u0440\u043e\u0437\u0434\u0456\u043b\u0438\u0432\u0448\u0438 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u0443\u0441\u043f\u0456\u0448\u043d\u0438\u0445 \u0432\u0438\u043f\u0430\u0434\u043a\u0456\u0432 \u043d\u0430 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\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-cb931a4f209ae3f6468f761d9a1978c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}=\\cfrac{48}{60}=0,80\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"119\" 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-3946308ea76348e30ec338f8500ee655_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}=\\cfrac{55}{65}=0,85\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"118\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0442\u0456\u043c \u043c\u0438 \u0437\u043d\u0430\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u0431\u2019\u0454\u0434\u043d\u0430\u043d\u0443 \u0447\u0430\u0441\u0442\u043a\u0443 \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432:<\/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-e536a515c55598373f535a15de012c5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_0=\\cfrac{48+55}{60+65}=0,82\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"158\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u043b\u0456 \u043c\u0438 \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u0454\u043c\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u0449\u043e\u0431 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0442\u0435\u0441\u0442\u043e\u0432\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0443:<\/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-a9f3f8f1a427577abac02e3f6c119be8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle Z&amp;=\\frac{\\displaystyle (\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle \\sqrt{p_0(1-p_0)\\left(\\frac{1}{n_1}+\\frac{1}{n_2}\\right)}}\\\\[2ex]\\displaystyle Z&amp;=\\frac{\\displaystyle (0,80-0,85)-0}{\\displaystyle \\sqrt{0,82\\cdot(1-0,82)\\left(\\frac{1}{60}+\\frac{1}{65}\\right)}}\\\\[2ex]\\displaystyle Z&amp;=-0,73 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"218\" width=\"277\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430 \u0432\u0456\u0434\u043c\u0456\u043d\u0443 \u0432\u0456\u0434 \u0446\u044c\u043e\u0433\u043e, \u043c\u0438 \u0448\u0443\u043a\u0430\u0454\u043c\u043e \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0432 <a href=\"https:\/\/statorials.org\/uk\/\u0442\u0430\u0431\u043b\u0438\u0446\u044f-\u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443\/\">\u0442\u0430\u0431\u043b\u0438\u0446\u0456 Z.<\/a> \u041e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0440\u0456\u0432\u0435\u043d\u044c \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c 0,05 \u0456 \u0446\u0435 \u0434\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438, \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c 1,96.<\/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-8154fa6e5bfee35698c6dc26928cd98c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"300\" 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> \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0449\u043e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0457 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043c\u0435\u043d\u0448\u0435 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f, \u043e\u0442\u0436\u0435, \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u0430 \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0442\u0435\u0441\u0442\u0443 \u043f\u0440\u0438\u0439\u043c\u0430\u0454\u0442\u044c\u0441\u044f. <\/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-f336118d0fd06640ec390f85b90d1086_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|-0,73|=0,73<1,96 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"423\" 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>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0432\u0438\u0431\u0456\u0440\u043a\u0430-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443-\u0440\u0456\u0437\u043d\u0438\u0446\u0456-\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0438\/\">\u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445. \u0412\u0438 \u0442\u0430\u043a\u043e\u0436 \u0434\u0456\u0437\u043d\u0430\u0454\u0442\u0435\u0441\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u0443 \u0432\u043f\u0440\u0430\u0432\u0443. \u0429\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445? \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439 \u2014 \u0446\u0435 \u043c\u0435\u0442\u043e\u0434, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0442\u044f \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0442\u0435, \u0449\u043e \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0457 \u0434\u0432\u043e\u0445 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439 \u0440\u0456\u0437\u043d\u0456. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<\/title>\n<meta name=\"description\" content=\"\u0422\u0443\u0442 \u0432\u0438 \u0437\u043d\u0430\u0439\u0434\u0435\u0442\u0435, \u0449\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u044f\u043a 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