{"id":2927,"date":"2023-07-20T01:25:01","date_gmt":"2023-07-20T01:25:01","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b1%d0%b8%d0%bd%d0%be%d0%bc%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%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%b0-2\/"},"modified":"2023-07-20T01:25:01","modified_gmt":"2023-07-20T01:25:01","slug":"%d0%b1%d0%b8%d0%bd%d0%be%d0%bc%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%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%b0-2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b1%d0%b8%d0%bd%d0%be%d0%bc%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%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%b0-2\/","title":{"rendered":"\u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438<\/strong> \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0417\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> \u0434\u043e\u043b\u044f \u00ab\u0443\u0441\u043f\u0435\u0445\u043e\u0432\u00bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z:<\/strong> \u0432\u044b\u0431\u0440\u0430\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 z<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0421\u0430\u043c\u044b\u0439 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0432 Python \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0438_confint <strong>()<\/strong> \u0438\u0437 \u043f\u0430\u043a\u0435\u0442\u0430 <strong>statsmodels<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span class=\"sig-name descname\"><span class=\"pre\">proportion_confint<\/span><\/span> <span class=\"sig-paren\">(<\/span> <span class=\"n\"><span class=\"pre\">count<\/span><\/span> , <span class=\"n\"><span class=\"pre\">nobs<\/span><\/span> , <span class=\"n\"><span class=\"pre\">alpha<\/span><\/span> <span class=\"o\"><span class=\"pre\">=<\/span><\/span> <span class=\"default_value\" style=\"color: #008000;\"><span class=\"pre\">0.05<\/span><\/span> , <span class=\"n\"><span class=\"pre\">method<\/span><\/span> <span class=\"o\"><span class=\"pre\">=<\/span><\/span> <span class=\"default_value\"><span class=\"pre\">' <span style=\"color: #ff0000;\">normal<\/span> '<\/span><\/span> <span class=\"sig-paren\">)<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0417\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>count<\/strong> : \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0443\u0441\u043f\u0435\u0445\u043e\u0432<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>nobs<\/strong> : \u041e\u0431\u0449\u0435\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043f\u043e\u043f\u044b\u0442\u043e\u043a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0430\u043b\u044c\u0444\u0430<\/strong> : \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438 (\u043f\u043e \u0443\u043c\u043e\u043b\u0447\u0430\u043d\u0438\u044e 0,05).<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u043c\u0435\u0442\u043e\u0434<\/strong> : \u043c\u0435\u0442\u043e\u0434, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0439 \u0434\u043b\u044f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 (\u043f\u043e \u0443\u043c\u043e\u043b\u0447\u0430\u043d\u0438\u044e \u00ab\u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u044b\u0439\u00bb)<\/span><\/li>\n<\/ul>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u0443 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u041f\u0440\u0438\u043c\u0435\u0440: \u0440\u0430\u0441\u0447\u0435\u0442 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0432 Python<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0434\u043e\u043b\u044e \u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u043e\u043a\u0440\u0443\u0433\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u044e\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0439 \u0437\u0430\u043a\u043e\u043d.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u0432\u044b\u0431\u043e\u0440\u043a\u0443 \u0438\u0437 100 \u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u0438 \u043e\u0431\u043d\u0430\u0440\u0443\u0436\u0438\u043b\u0438, \u0447\u0442\u043e 56 \u0438\u0437 \u043d\u0438\u0445 \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u044e\u0442 \u0437\u0430\u043a\u043e\u043d.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0438_confint()<\/strong> \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 95% \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 \u0438\u0441\u0442\u0438\u043d\u043d\u043e\u0439 \u0434\u043e\u043b\u0438 \u0436\u0438\u0442\u0435\u043b\u0435\u0439, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u044d\u0442\u043e\u0442 \u0437\u0430\u043a\u043e\u043d, \u0432\u043e \u0432\u0441\u0435\u043c \u043e\u043a\u0440\u0443\u0433\u0435:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">proportion<\/span> <span style=\"color: #008000;\">import<\/span> proportion_confint\n\n<span style=\"color: #008080;\">#calculate 95% confidence interval with 56 successes in 100 trials\n<\/span>proportion_confint(count= <span style=\"color: #008000;\">56<\/span> , nobs= <span style=\"color: #008000;\">100<\/span> )\n\n(0.4627099463758483, 0.6572900536241518)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0438\u0441\u0442\u0438\u043d\u043d\u043e\u0439 \u0434\u043e\u043b\u0438 \u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u043e\u043a\u0440\u0443\u0433\u0430, \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u044e\u0449\u0438\u0445 \u0437\u0430\u043a\u043e\u043d, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 <strong>[0,4627, 0,6573]<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041f\u043e \u0443\u043c\u043e\u043b\u0447\u0430\u043d\u0438\u044e \u044d\u0442\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \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. \u041e\u0434\u043d\u0430\u043a\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442 <strong>\u043c\u0435\u0442\u043e\u0434\u0430<\/strong> , \u0447\u0442\u043e\u0431\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u0435\u0442\u043e\u0434.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u043f\u043e \u0443\u043c\u043e\u043b\u0447\u0430\u043d\u0438\u044e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u0439 \u0432 \u044f\u0437\u044b\u043a\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f R \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u043e\u0446\u0435\u043d\u043a\u0438 \u0412\u0438\u043b\u044c\u0441\u043e\u043d\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441, \u0447\u0442\u043e\u0431\u044b \u0443\u043a\u0430\u0437\u0430\u0442\u044c \u044d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434 \u043f\u0440\u0438 \u0440\u0430\u0441\u0447\u0435\u0442\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0432 Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">proportion<\/span> <span style=\"color: #008000;\">import<\/span> proportion_confint\n\n<span style=\"color: #008080;\">#calculate 95% confidence interval with 56 successes in 100 trials\n<\/span>proportion_confint(count= <span style=\"color: #008000;\">56<\/span> , nobs= <span style=\"color: #008000;\">100<\/span> , method=' <span style=\"color: #ff0000;\">wilson<\/span> ')\n\n(0.4622810465167698, 0.6532797336983921)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u042d\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043d\u0430\u043c \u043e \u0442\u043e\u043c, \u0447\u0442\u043e 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0438\u0441\u0442\u0438\u043d\u043d\u043e\u0439 \u0434\u043e\u043b\u0438 \u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u043e\u043a\u0440\u0443\u0433\u0430, \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u044e\u0449\u0438\u0445 \u0437\u0430\u043a\u043e\u043d, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 <strong>[0,4623, 0,6533]<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u042d\u0442\u043e\u0442 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043d\u043d\u043e\u0433\u043e \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u044f.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <strong>\u0430\u043b\u044c\u0444\u0430<\/strong> \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u0430\u043b\u044c\u0444\u0443 \u0440\u0430\u0432\u043d\u044b\u043c 0,10, \u0447\u0442\u043e\u0431\u044b \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 90%:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">proportion<\/span> <span style=\"color: #008000;\">import<\/span> proportion_confint\n\n<span style=\"color: #008080;\">#calculate 90% confidence interval with 56 successes in 100 trials\n<\/span>proportion_confint(count= <span style=\"color: #008000;\">56<\/span> , nobs= <span style=\"color: #008000;\">100<\/span> , alpha= <span style=\"color: #008000;\">0.10<\/span> , method=' <span style=\"color: #ff0000;\">wilson<\/span> ')\n\n(0.47783814499647415, 0.6390007285095451)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u042d\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043d\u0430\u043c \u043e \u0442\u043e\u043c, \u0447\u0442\u043e 90% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0438\u0441\u0442\u0438\u043d\u043d\u043e\u0439 \u0434\u043e\u043b\u0438 \u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u043e\u043a\u0440\u0443\u0433\u0430, \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u044e\u0449\u0438\u0445 \u0437\u0430\u043a\u043e\u043d, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 <strong>[0,4778, 0,6390]<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0447\u0430\u043d\u0438\u0435<\/strong> . \u041f\u043e\u043b\u043d\u0443\u044e \u0434\u043e\u043a\u0443\u043c\u0435\u043d\u0442\u0430\u0446\u0438\u044e \u043f\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0438_confint <strong>()<\/strong> \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 <a href=\"https:\/\/www.statsmodels.org\/devel\/generated\/statsmodels.stats.proportion.proportion_confint.html\" target=\"_blank\" rel=\"noopener\">\u0437\u0434\u0435\u0441\u044c<\/a> .<\/span><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0435\u0441\u0443\u0440\u0441\u044b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430\u0445 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0434\u0440\u0443\u0433\u0438\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0432 Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c-\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: \u0414\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b = p +\/- z*(\u221a p(1-p) \/ n ) \u0417\u043e\u043b\u043e\u0442\u043e: p: \u0434\u043e\u043b\u044f \u00ab\u0443\u0441\u043f\u0435\u0445\u043e\u0432\u00bb z: \u0432\u044b\u0431\u0440\u0430\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 z n: \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0421\u0430\u043c\u044b\u0439 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0432 Python \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u0438_confint () \u0438\u0437 \u043f\u0430\u043a\u0435\u0442\u0430 statsmodels : proportion_confint ( count , nobs , alpha [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2927","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 Python \u2014 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430<\/title>\n<meta name=\"description\" content=\"\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 Python, \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/ru\/\u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0438-\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430-2\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 Python \u2014 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430\" \/>\n<meta property=\"og:description\" content=\"\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0432 Python, \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ru\/\u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0438-\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-20T01:25:01+00:00\" \/>\n<meta name=\"author\" content=\"\u0431\u0435\u043d\u0434\u0436\u0430\u043c\u0438\u043d \u0430\u043d\u0434\u0435\u0440\u0441\u043e\u043d\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0431\u0435\u043d\u0434\u0436\u0430\u043c\u0438\u043d \u0430\u043d\u0434\u0435\u0440\u0441\u043e\u043d\" \/>\n<script type=\"application\/ld+json\" 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