{"id":268,"date":"2023-08-03T08:04:23","date_gmt":"2023-08-03T08:04:23","guid":{"rendered":"https:\/\/statorials.org\/ko\/%e1%84%80%e1%85%a1%e1%84%89%e1%85%a5%e1%86%af-%e1%84%83%e1%85%a2%e1%84%8c%e1%85%a9\/"},"modified":"2023-08-03T08:04:23","modified_gmt":"2023-08-03T08:04:23","slug":"%e1%84%80%e1%85%a1%e1%84%89%e1%85%a5%e1%86%af-%e1%84%83%e1%85%a2%e1%84%8c%e1%85%a9","status":"publish","type":"post","link":"https:\/\/statorials.org\/ko\/%e1%84%80%e1%85%a1%e1%84%89%e1%85%a5%e1%86%af-%e1%84%83%e1%85%a2%e1%84%8c%e1%85%a9\/","title":{"rendered":"\uac00\uc124 \ub300\ube44"},"content":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ud1b5\uacc4\uc5d0\uc11c \uac00\uc124 \uac80\uc815\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc124\uba85\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud558\ub294 \ubc29\ubc95, \ub2e4\uc591\ud55c \uc720\ud615\uc758 \uac00\uc124 \uac80\uc815 \ubc0f \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud560 \ub54c \ubc94\ud560 \uc218 \uc788\ub294 \uc2e4\uc218\uc5d0 \ub300\ud574 \uc54c\uc544\ubd05\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-contraste-de-hipotesis\"><\/span> \uac00\uc124 \uac80\uc815\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uac00\uc124 \uac80\uc815\uc740<\/strong> \ud1b5\uacc4\uc801 \uac00\uc124\uc744 \uae30\uac01\ud558\uac70\ub098 \uac70\ubd80\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uc808\ucc28\uc785\ub2c8\ub2e4. \uac00\uc124 \uac80\uc815\uc5d0\uc11c\ub294 \ubaa8\uc9d1\ub2e8 \ub9e4\uac1c\ubcc0\uc218\uc758 \uac12\uc774 \ud574\ub2f9 \ubaa8\uc9d1\ub2e8 \ud45c\ubcf8\uc5d0\uc11c \uad00\ucc30\ub41c \uac12\uacfc \ud638\ud658\ub418\ub294\uc9c0 \uc5ec\ubd80\ub97c \ud310\ub2e8\ud569\ub2c8\ub2e4.<\/p>\n<p> \uc989, \uac00\uc124\uac80\uc815\uc5d0\uc11c\ub294 \ud1b5\uacc4\uc801 \ud45c\ubcf8\uc744 \ubd84\uc11d\ud558\uace0, \uadf8 \uacb0\uacfc\ub97c \ubc14\ud0d5\uc73c\ub85c \uc774\ubbf8 \uc124\uc815\ub41c \uac00\uc124\uc744 \uae30\uac01\ud560\uc9c0, \uc218\uc6a9\ud560\uc9c0\ub97c \uacb0\uc815\ud558\ub294 \uac83\uc774\ub2e4.<\/p>\n<p> \uc77c\ubc18\uc801\uc73c\ub85c \uac00\uc124 \uac80\uc815\uc744 \ud1b5\ud574 \uac00\uc124\uc774 \ucc38\uc778\uc9c0 \uac70\uc9d3\uc778\uc9c0 \uc644\uc804\ud788 \ud655\uc2e4\ud558\uac8c \ucd94\ub860\ud560 \uc218\ub294 \uc5c6\uc9c0\ub9cc, \uc5bb\uc740 \uacb0\uacfc\uc5d0 \ub530\ub77c \uac00\uc124\uc774 \ub2e8\uc21c\ud788 \uae30\uac01\ub418\ub294\uc9c0 \uc5ec\ubd80\ub294 \ud655\uc2e4\ud558\uac8c \ucd94\ub860\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac00\uc124\uc744 \ud14c\uc2a4\ud2b8\ud560 \ub54c \ub0b4\ub824\uc9c4 \uacb0\uc815\uc774 \uac00\uc7a5 \uac00\ub2a5\uc131\uc774 \ub192\ub2e4\ub294 \ud1b5\uacc4\uc801 \uc99d\uac70\uac00 \uc788\ub354\ub77c\ub3c4 \uc5ec\uc804\ud788 \uc624\ub958\uac00 \ubc1c\uc0dd\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ud1b5\uacc4\uc5d0\uc11c\ub294 \uac00\uc124 \uac80\uc815\uc744 <strong>\uac00\uc124 \uac80\uc815<\/strong> , <strong>\uac00\uc124 \uac80\uc815<\/strong> \ub610\ub294 <strong>\uc720\uc758\uc131 \uac80\uc815<\/strong> \uc774\ub77c\uace0\ub3c4 \ud569\ub2c8\ub2e4.<\/p>\n<p> \uac00\uc124 \uac80\uc815 \uc774\ub860\uc740 \uc601\uad6d\uc758 \ud1b5\uacc4\ud559\uc790 Ronald Fisher\uc5d0 \uc758\ud574 \ud655\ub9bd\ub418\uc5c8\uc73c\uba70 Jerzy Neyman\uacfc Egon Pearson\uc5d0 \uc758\ud574 \ub354\uc6b1 \ubc1c\uc804\ub418\uc5c8\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hipotesis-nula-e-hipotesis-alternativa\"><\/span> \uadc0\ubb34\uac00\uc124\uacfc \ub300\ub9bd\uac00\uc124<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uac00\uc124 \uac80\uc815\uc740 \ub450 \uac00\uc9c0 \uc720\ud615\uc758 \ud1b5\uacc4\uc801 \uac00\uc124\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uadc0\ubb34 \uac00\uc124(H <sub>0<\/sub> )<\/strong> : \ubaa8\uc9d1\ub2e8 \ubaa8\uc218\uc5d0 \uad00\ud574 \uc6b0\ub9ac\uac00 \uac00\uc9c0\uace0 \uc788\ub294 \ucd08\uae30 \uac00\uc124\uc774 \uac70\uc9d3\uc784\uc744 \uc720\uc9c0\ud558\ub294 \uac00\uc124\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uadc0\ubb34 \uac00\uc124\uc740 \uc6b0\ub9ac\uac00 \uae30\uac01\ud558\ub824\ub294 \uac00\uc124\uc785\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\ub300\ub9bd \uac00\uc124(H <sub>1<\/sub> )<\/strong> : \uc9c4\uc2e4\uc774 \uc785\uc99d\ub418\uc5b4\uc57c \ud558\ub294 \uc5f0\uad6c \uac00\uc124\uc785\ub2c8\ub2e4. \uc989, \ub300\ub9bd\uac00\uc124\uc740 \uc5f0\uad6c\uc790\uc758 \uc0ac\uc804 \uac00\uc124\uc774\uba70, \uadf8\uac83\uc774 \ucc38\uc784\uc744 \uc99d\uba85\ud558\uae30 \uc704\ud574 \ub300\uc870\uac00\uc124\uc744 \uc218\ud589\ud558\uac8c \ub41c\ub2e4.<\/span><\/li>\n<\/ul>\n<p> \uc2e4\uc81c\ub85c \ub300\ub9bd \uac00\uc124\uc740 \ub370\uc774\ud130 \uc0d8\ud50c\uc758 \ud1b5\uacc4\uc801 \ubd84\uc11d\uc744 \ud1b5\ud574 \ud655\uc99d\ud558\ub824\ub294 \uac00\uc124\uc774\uae30 \ub54c\ubb38\uc5d0 \uadc0\ubb34 \uac00\uc124\ubcf4\ub2e4 \uba3c\uc800 \uacf5\uc2dd\ud654\ub429\ub2c8\ub2e4. \uadc0\ubb34 \uac00\uc124\uc740 \ub300\ub9bd \uac00\uc124\uc744 \ubaa8\uc21c\ud568\uc73c\ub85c\uc368 \uac04\ub2e8\ud788 \uacf5\uc2dd\ud654\ub429\ub2c8\ub2e4.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-contrastes-de-hipotesis\"><\/span> \uac00\uc124 \uac80\uc815\uc758 \uc720\ud615<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uac00\uc124 \uac80\uc815\uc740 \ub450 \uac00\uc9c0 \uc720\ud615\uc73c\ub85c \ubd84\ub958\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uc591\uce21 \uac00\uc124 \uac80\uc815(\ub610\ub294 \uc591\uce21 \uac00\uc124 \uac80\uc815)<\/strong> : \uac00\uc124 \uac80\uc815\uc758 \ub300\ub9bd \uac00\uc124\uc740 \ubaa8\uc9d1\ub2e8 \ubaa8\uc218\uac00 \ud2b9\uc815 \uac12\uacfc &#8220;\ub2e4\ub974\ub2e4&#8221;\ub294 \uac83\uc785\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\ub2e8\uce21 \uac00\uc124 \uac80\uc815(\ub610\ub294 \ub2e8\uce21 \uac00\uc124 \uac80\uc815)<\/strong> : \uac00\uc124 \uac80\uc815\uc758 \ub300\ub9bd \uac00\uc124\uc740 \ubaa8\uc9d1\ub2e8 \ubaa8\uc218\uac00 \ud2b9\uc815 \uac12\ubcf4\ub2e4 &#8220;\ubcf4\ub2e4 \ud07c&#8221;(\uc624\ub978\ucabd \uaf2c\ub9ac) \ub610\ub294 &#8220;\ubcf4\ub2e4 \uc791\uc74c&#8221;(\uc67c\ucabd \uaf2c\ub9ac)\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-20 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong>\uc591\uce21 \uac00\uc124 \uac80\uc815<\/strong> <\/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-4f0c1b65b50009900a6facbefea23ca1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu=\\mu_0\\\\[2ex]H_1:\\mu\\neq\\mu_0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong>\ub2e8\uce21 \uac00\uc124 \uac80\uc815(\uc624\ub978\ucabd \uaf2c\ub9ac)<\/strong> <\/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-1393df603c93485a0f75ebd0116c46a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu\\leq \\mu_0\\\\[2ex]H_1:\\mu>\\mu_0\\end{cases}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;102&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff8a05\"> <strong><strong>\ub2e8\uce21 \uac00\uc124 \uac80\uc815(\uc67c\ucabd \uaf2c\ub9ac)<\/strong><\/strong> <\/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-570fdfa44817f5392b33075476008f80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu\\geq\\mu_0\\\\[2ex]H_1:\\mu<\\mu_0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"region-de-rechazo-y-region-de-aceptacion-de-un-contraste-de-hipotesis\"><\/span> \uac00\uc124\uac80\uc815\uc758 \uae30\uac01\uc601\uc5ed\uacfc \uc218\uc6a9\uc601\uc5ed<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc544\ub798\uc5d0\uc11c \uc790\uc138\ud788 \uc0b4\ud3b4\ubcf4\uaca0\uc9c0\ub9cc, \uac00\uc124 \uac80\uc815\uc740 \uac01 \uc720\ud615\uc758 \uac00\uc124 \uac80\uc815\uc758 \ud2b9\uc131\uac12\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc73c\ub85c \uad6c\uc131\ub418\uba70, \uc774 \uac12\uc744 \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub77c\uace0 \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub300\ube44 \ud1b5\uacc4\uac00 \uacc4\uc0b0\ub418\uba74 \uacb0\ub860\uc5d0 \ub3c4\ub2ec\ud558\ub824\uba74 \ub2e4\uc74c \ub450 \uc9c0\uc5ed \uc911 \uc5b4\ub290 \uc9c0\uc5ed\uc5d0 \uc788\ub294\uc9c0 \uad00\ucc30\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uae30\uac01 \uc601\uc5ed(\ub610\ub294 \uc784\uacc4 \uc601\uc5ed)<\/strong> : \uadc0\ubb34 \uac00\uc124\uc744 \uae30\uac01(\ubc0f \ub300\ub9bd \uac00\uc124\uc744 \uc218\ub77d)\ud558\ub294 \uac00\uc124 \uac80\uc815 \uae30\uc900 \ubd84\ud3ec \uadf8\ub798\ud504\uc758 \uc601\uc5ed\uc785\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uc218\uc6a9 \uc601\uc5ed(Acceptance Region)<\/strong> : \uadc0\ubb34 \uac00\uc124\uc758 \uc218\uc6a9(\ubc0f \ub300\ub9bd \uac00\uc124\uc758 \uae30\uac01)\uc744 \uc554\uc2dc\ud558\ub294 \uac00\uc124 \uac80\uc815 \uae30\uc900 \ubd84\ud3ec \uadf8\ub798\ud504\uc758 \uc601\uc5ed\uc785\ub2c8\ub2e4.<\/span><\/li>\n<\/ul>\n<p> \uc989, \uac80\uc815 \ud1b5\uacc4\ub7c9\uc774 \uac70\ubd80 \uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub418\uace0 \ub300\ub9bd\uac00\uc124\uc774 \ucc44\ud0dd\ub429\ub2c8\ub2e4. \ubc18\ub300\ub85c \uac80\uc815\ud1b5\uacc4\ub7c9\uc774 \uc218\uc6a9\uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34\uac00\uc124\uc740 \ucc44\ud0dd\ub418\uace0 \ub300\ub9bd\uac00\uc124\uc740 \uae30\uac01\ub41c\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/test-dhypothese-de-contraste.png\" alt=\"\uac00\uc124 \ub300\ube44\" class=\"wp-image-5660\" width=\"311\" height=\"600\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \uac70\ubd80 \uc601\uc5ed\uacfc \ud569\uaca9 \uc601\uc5ed\uc758 \uacbd\uacc4\ub97c \uc124\uc815\ud558\ub294 \uac12\uc744 <strong>\uc784\uacc4\uac12<\/strong> \uc774\ub77c\uace0 \ud558\uba70, \ub9c8\ucc2c\uac00\uc9c0\ub85c \uac70\ubd80 \uc601\uc5ed\uc744 \uc815\uc758\ud558\ub294 \uac12\uc758 \uac04\uaca9\uc744 <strong>\uc2e0\ub8b0 \uad6c\uac04<\/strong> \uc774\ub77c\uace0 \ud569\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ub450 \uac12 \ubaa8\ub450 \uc120\ud0dd\ud55c <strong>\uc720\uc758 \uc218\uc900<\/strong> \uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. <\/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>\ucc38\uc870:<\/strong> <a href=\"https:\/\/statorials.org\/ko\/\u110b\u1172\u110b\u1174\u1106\u1175\u1112\u1161\u11ab-\u1109\u116e\u110c\u116e\u11ab\/\">\uc54c\ud30c \uc720\uc758\uc218\uc900<\/a><\/div>\n<p> \ud55c\ud3b8, \uadc0\ubb34\uac00\uc124\uc758 \uae30\uac01 \ub610\ub294 \uc218\ub77d \uc5ec\ubd80\ub294 \uac00\uc124 \uac80\uc815\uc5d0\uc11c \uc5bb\uc740 <strong>p-\uac12<\/strong> (\ub610\ub294 p-\uac12)\uc744 \uc120\ud0dd\ud55c \uc720\uc758 \uc218\uc900\uacfc \ube44\uad50\ud558\uc5ec \ub0b4\ub9b4 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/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>\ucc38\uace0:<\/strong> <a href=\"https:\/\/statorials.org\/ko\/p-\u1100\u1161\u11b9\/\">p-\uac12\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-contraste-de-hipotesis\"><\/span> \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud558\ub294 \ubc29\ubc95<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud558\ub824\uba74 \ub2e4\uc74c \ub2e8\uacc4\ub97c \ub530\ub77c\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\uac00\uc124\uac80\uc815\uc758 \uadc0\ubb34\uac00\uc124\uacfc \ub300\ub9bd\uac00\uc124\uc744 \uae30\uc220\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\uc6d0\ud558\ub294 \uc54c\ud30c(\u03b1) \uc720\uc758 \uc218\uc900\uc744 \uc124\uc815\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\uac00\uc124 \ub300\ube44 \ud1b5\uacc4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\uac00\uc124 \uac80\uc815\uc758 \uae30\uac01 \uc601\uc5ed\uacfc \uc218\uc6a9 \uc601\uc5ed\uc744 \uc54c\uae30 \uc704\ud574 \uac00\uc124 \uac80\uc815\uc758 \uc784\uacc4\uac12\uc744 \uacb0\uc815\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\uac00\uc124 \ub300\ube44 \ud1b5\uacc4\uac00 \uae30\uac01 \uc601\uc5ed\uc5d0 \uc788\ub294\uc9c0 \uc544\ub2c8\uba74 \uc218\uc6a9 \uc601\uc5ed\uc5d0 \uc788\ub294\uc9c0 \uad00\ucc30\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud1b5\uacc4\uac00 \uae30\uac01 \uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34 \uac00\uc124\uc774 \uae30\uac01\ub418\uace0 \ub300\ub9bd \uac00\uc124\uc774 \ucc44\ud0dd\ub429\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ud1b5\uacc4\uac00 \uc218\uc6a9 \uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34 \uac00\uc124\uc774 \ucc44\ud0dd\ub429\ub2c8\ub2e4(\ub300\ub9bd \uac00\uc124\uc740 \uae30\uac01\ub429\ub2c8\ub2e4).<\/span> <\/li>\n<\/ol>\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>\ucc38\uace0:<\/strong> <a href=\"https:\/\/statorials.org\/ko\/\u1111\u1167\u11bc\u1100\u1172\u11ab\u110b\u1166-\u1103\u1162\u1112\u1161\u11ab-\u1100\u1161\u1109\u1165\u11af-\u1100\u1165\u11b7\u110c\u1165\u11bc\/\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> <a href=\"https:\/\/statorials.org\/ko\/\u1107\u1175\u110b\u1172\u11af\u110b\u1166-\u1103\u1162\u1112\u1161\u11ab-\u1100\u1161\u1109\u1165\u11af-\u1100\u1165\u11b7\u110c\u1165\u11bc\/\">\ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> <a href=\"https:\/\/statorials.org\/ko\/\u1107\u116e\u11ab\u1109\u1161\u11ab\u110b\u1166-\u1103\u1162\u1112\u1161\u11ab-\u1100\u1161\u1109\u1165\u11af-\u1100\u1165\u11b7\u110c\u1165\u11bc\/\">\ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"errores-de-un-contraste-de-hipotesis\"><\/span> \uac00\uc124 \uac80\uc815 \uc624\ub958<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uac00\uc124 \uac80\uc815\uc5d0\uc11c \ud558\ub098\uc758 \uac00\uc124\uc744 \uae30\uac01\ud558\uace0 \ub2e4\ub978 \uac80\uc815 \uac00\uc124\uc744 \ucc44\ud0dd\ud560 \ub54c \ub2e4\uc74c \ub450 \uac00\uc9c0 \uc624\ub958 \uc911 \ud558\ub098\uac00 \ubc1c\uc0dd\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uc81c1\uc885 \uc624\ub958<\/strong> : \uadc0\ubb34\uac00\uc124\uc774 \uc2e4\uc81c\ub85c \ucc38\uc778\ub370\ub3c4 \uc774\ub97c \uae30\uac01\ud560 \ub54c \ubc1c\uc0dd\ud558\ub294 \uc624\ub958\uc785\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uc81c2\uc885 \uc624\ub958<\/strong> : \uadc0\ubb34\uac00\uc124\uc774 \uc2e4\uc81c\ub85c \uac70\uc9d3\uc784\uc5d0\ub3c4 \ubd88\uad6c\ud558\uace0 \uc774\ub97c \ubc1b\uc544\ub4e4\uc784\uc73c\ub85c\uc368 \ubc1c\uc0dd\ud558\ub294 \uc624\ub958\uc774\ub2e4.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erreur-type-i-et-erreur-type-ii.png\" alt=\"\uc81c1\uc885 \uc624\ub958\uc640 \uc81c2\uc885 \uc624\ub958\" class=\"wp-image-5683\" width=\"456\" height=\"120\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud55c\ud3b8, \uac01 \uc720\ud615\uc758 \uc624\ub958\ub97c \ubc94\ud560 \ud655\ub960\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \ubd88\ub9bd\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\uc54c\ud30c \ud655\ub960(\u03b1)<\/strong> : \uc81c1\uc885 \uc624\ub958\ub97c \ubc94\ud560 \ud655\ub960\uc785\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\ubca0\ud0c0 \ud655\ub960(\u03b2)<\/strong> : \uc81c2\uc885 \uc624\ub958\ub97c \ubc94\ud560 \ud655\ub960\uc785\ub2c8\ub2e4.<\/span><\/li>\n<\/ul>\n<p> \ub9c8\ucc2c\uac00\uc9c0\ub85c, <strong>\uac00\uc124 \uac80\uc815\uc758 \uac80\uc815\ub825\uc740<\/strong> \uadc0\ubb34\uac00\uc124(H <sub>0<\/sub> )\uc774 \uac70\uc9d3\uc77c \ub54c \uc774\ub97c \uae30\uac01\ud560 \ud655\ub960, \uc989 \ucc38\uc77c \ub54c \ub300\ub9bd\uac00\uc124(H <sub>1<\/sub> )\uc744 \uc120\ud0dd\ud560 \ud655\ub960\ub85c \uc815\uc758\ub429\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac00\uc124 \uac80\uc815\uc758 \uac80\uc815\ub825\uc740 1-\u03b2\uc640 \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"estadisticos-de-contrastes-de-hipotesis\"><\/span> \uac00\uc124 \uac80\uc815 \ud1b5\uacc4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uac00\uc124 \uac80\uc815\uc758 \ud1b5\uacc4\ub7c9\uc740<\/strong> \uadc0\ubb34 \uac00\uc124\uc758 \uae30\uac01 \uc5ec\ubd80\ub97c \uacb0\uc815\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uac00\uc124 \uac80\uc815 \uae30\uc900 \ubd84\ud3ec\uc758 \uac12\uc785\ub2c8\ub2e4. \uac80\uc815 \ud1b5\uacc4\ub7c9\uc774 \uae30\uac01 \uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub418\uace0(\ub300\ub9bd\uac00\uc124\uc774 \ucc44\ud0dd\ub428), \uac80\uc815 \ud1b5\uacc4\ub7c9\uc774 \uc218\uc6a9 \uc601\uc5ed\uc5d0 \uc18d\ud558\uba74 \uadc0\ubb34\uac00\uc124\uc774 \ucc44\ud0dd\ub429\ub2c8\ub2e4(\ub300\ub9bd\uac00\uc124\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4). \uac70\ubd80\ub428).\ub300\uccb4 \uac00\uc124).<\/p>\n<p> \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc758 \uacc4\uc0b0\uc740 \uac80\uc815 \uc720\ud615\uc5d0 \ub530\ub77c \ub2e4\ub985\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac01 \uac00\uc124\uac80\uc815 \uc720\ud615\uc5d0 \ub530\ub978 \ud1b5\uacc4\ub7c9 \uacc4\uc0b0\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-media\"><\/span> \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\uc54c\ub824\uc9c4 \ubd84\uc0b0\uc774 \uc788\ub294 \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc758 \uacf5\uc2dd\uc740<\/strong> \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{\\sigma}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \uae08:<\/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> \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \ub300\ube44 \ud1b5\uacc4\uc785\ub2c8\ub2e4.<\/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-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \uc0d8\ud50c \uc218\ub2e8\uc785\ub2c8\ub2e4.<\/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-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \uc81c\uc548\ub41c \ud3c9\uade0\uac12\uc785\ub2c8\ub2e4.<\/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-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \ubaa8\uc9d1\ub2e8 \ud45c\uc900\ud3b8\ucc28\uc785\ub2c8\ub2e4.<\/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-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> \ud45c\ubcf8 \ud06c\uae30\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p> \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc774 \uacc4\uc0b0\ub418\uba74 \uacb0\uacfc\ub294 \uadc0\ubb34 \uac00\uc124\uc744 \uae30\uac01\ud560\uc9c0 \uc5ec\ubd80\ub97c \ud574\uc11d\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc591\uce21\uc778 \uacbd\uc6b0 \ud1b5\uacc4\uc758 \uc808\ub300\uac12\uc774 \uc784\uacc4\uac12 Z <sub>\u03b1\/2<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc624\ub978\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12 <sub>Z\u03b1<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc67c\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12 -Z <sub>\u03b1<\/sub> \ubcf4\ub2e4 \uc791\uc73c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0e2ccadfc369eb7543b8f86dfccc528e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \ud45c\uc900\ud654\ub41c \uc815\uaddc\ubd84\ud3ec\ud45c\uc5d0\uc11c \uc784\uacc4\uac12\uc744 \uad6c\ud55c\ub2e4.<\/p>\n<p> \ubc18\uba74, <strong>\ubd84\uc0b0\uc744 \uc54c \uc218 \uc5c6\ub294 \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc758 \uacf5\uc2dd\uc740 \ub2e4\uc74c\uacfc<\/strong> \uac19\uc2b5\ub2c8\ub2e4.<\/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-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \uae08:<\/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-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \ub294 \uc2a4\ud29c\ub358\ud2b8 t \ubd84\ud3ec\ub85c \uc815\uc758\ub418\ub294 \ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc785\ub2c8\ub2e4.<\/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-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \uc0d8\ud50c \uc218\ub2e8\uc785\ub2c8\ub2e4.<\/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-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \uc81c\uc548\ub41c \ud3c9\uade0\uac12\uc785\ub2c8\ub2e4.<\/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-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \ud45c\ubcf8 \ud45c\uc900\ud3b8\ucc28\uc785\ub2c8\ub2e4.<\/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-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> \ud45c\ubcf8 \ud06c\uae30\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p> \uc774\uc804\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \uac80\uc815 \ud1b5\uacc4\ub7c9\uc758 \uacc4\uc0b0\ub41c \uacb0\uacfc\ub294 \uadc0\ubb34 \uac00\uc124\uc744 \uae30\uac01\ud560\uc9c0 \uc5ec\ubd80\ub97c \uacb0\uc815\ud558\ub294 \uc784\uacc4\uac12\uc73c\ub85c \ud574\uc11d\ub418\uc5b4\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc591\uce21\uc778 \uacbd\uc6b0 \ud1b5\uacc4\uc758 \uc808\ub300\uac12\uc774 \uc784\uacc4\uac12 t <sub>\u03b1\/2|n-1<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc624\ub978\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12 t <sub>\u03b1|n-1<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ud3c9\uade0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc67c\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\uac00 \uc784\uacc4\uac12 -t <sub>\u03b1|n-1<\/sub> \ubcf4\ub2e4 \uc791\uc73c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31fb206b75a47181c7c673f54ba28ee8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |t|>t_{\\alpha\/2|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t>t_{\\alpha|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t<-t_{\\alpha|n-1} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"457\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ubd84\uc0b0\uc744 \uc54c \uc218 \uc5c6\ub294 \uacbd\uc6b0 \uc2a4\ud29c\ub358\ud2b8 \ubd84\ud3ec\ud45c\uc5d0\uc11c \uc911\uc694\ud55c \uac80\uc815 \uac12\uc744 \uc5bb\uc2b5\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-proporcion\"><\/span> \ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\uc758 \uacf5\uc2dd\uc740<\/strong> \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-e2f5ad36dae72cd89279809ab3ea6d20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"123\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \uae08:<\/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> \ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc785\ub2c8\ub2e4.<\/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-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> \ud45c\ubcf8 \ube44\uc728\uc785\ub2c8\ub2e4.<\/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-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> \uc81c\uc548\ub41c \ube44\uc728 \uac12\uc785\ub2c8\ub2e4.<\/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-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> \ud45c\ubcf8 \ud06c\uae30\uc785\ub2c8\ub2e4.<\/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-661a2bbf8dccd197bcf450330420cbc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -13px;\"><\/p>\n<p> \ube44\uc728\uc758 \ud45c\uc900\ud3b8\ucc28\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p> \ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\ub9cc\uc73c\ub85c\ub294 \ucda9\ubd84\ud558\uc9c0 \uc54a\uc9c0\ub9cc \uacb0\uacfc\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \ud574\uc11d\ub418\uc5b4\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc591\uce21\uc778 \uacbd\uc6b0 \ud1b5\uacc4\uc758 \uc808\ub300\uac12\uc774 \uc784\uacc4\uac12 Z <sub>\u03b1\/2<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc624\ub978\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12 <sub>Z\u03b1<\/sub> \ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ube44\uc728\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc67c\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12 -Z <sub>\u03b1<\/sub> \ubcf4\ub2e4 \uc791\uc73c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d5bd583532769e3014286e8ffd94c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: p\\neq p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: p> p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: p< p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"437\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ud45c\uc900\uc815\uaddc\ubd84\ud3ec\ud45c\uc5d0\uc11c \uc784\uacc4\uac12\uc744 \uc27d\uac8c \uc5bb\uc744 \uc218 \uc788\ub2e4\ub294 \uc810\uc744 \uae30\uc5b5\ud558\uc138\uc694. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"contraste-de-hipotesis-para-la-varianza\"><\/span> \ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\ub7c9\uc744 \uacc4\uc0b0\ud558\ub294 \uacf5\uc2dd\uc740<\/strong> \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \uae08:<\/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-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \uce74\uc774\uc81c\uacf1 \ubd84\ud3ec\ub97c \uac16\ub294 \ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815 \ud1b5\uacc4\uc785\ub2c8\ub2e4.<\/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-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> \ud45c\ubcf8 \ud06c\uae30\uc785\ub2c8\ub2e4.<\/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-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \ud45c\ubcf8 \ubd84\uc0b0\uc785\ub2c8\ub2e4.<\/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-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \uc81c\uc548\ub41c \ubaa8\uc9d1\ub2e8\uc758 \ubd84\uc0b0\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p> \ud1b5\uacc4 \uacb0\uacfc\ub97c \ud574\uc11d\ud558\ub824\uba74 \uc5bb\uc740 \uac12\uc744 \ud14c\uc2a4\ud2b8\uc758 \uc784\uacc4\uac12\uacfc \ube44\uad50\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc591\uce21 \uac80\uc815\uc778 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12\ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \ub610\ub294 \uc784\uacc4\uac12\uc774 \ub2e4\uc74c\ubcf4\ub2e4 \uc791\uc740 \uacbd\uc6b0<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc624\ub978\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12\ubcf4\ub2e4 \ud06c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc0b0\uc5d0 \ub300\ud55c \uac00\uc124 \uac80\uc815\uc774 \uc67c\ucabd \uaf2c\ub9ac\uc640 \uc77c\uce58\ud558\ub294 \uacbd\uc6b0 \ud1b5\uacc4\ub7c9\uc774 \uc784\uacc4\uac12\ubcf4\ub2e4 \uc791\uc73c\uba74 \uadc0\ubb34\uac00\uc124\uc774 \uae30\uac01\ub429\ub2c8\ub2e4.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/span> .<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ubd84\uc0b0\uc5d0 \ub300\ud55c \uc784\uacc4 \uac00\uc124 \uac80\uc815 \uac12\uc740 \uce74\uc774\uc81c\uacf1 \ubd84\ud3ec\ud45c\uc5d0\uc11c \uc5bb\uc2b5\ub2c8\ub2e4. \uce74\uc774\uc81c\uacf1 \ubd84\ud3ec\uc758 \uc790\uc720\ub3c4\ub294 \ud45c\ubcf8 \ud06c\uae30\uc5d0\uc11c 1\uc744 \ube80 \uac12\uc785\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ud1b5\uacc4\uc5d0\uc11c \uac00\uc124 \uac80\uc815\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc124\uba85\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud558\ub294 \ubc29\ubc95, \ub2e4\uc591\ud55c \uc720\ud615\uc758 \uac00\uc124 \uac80\uc815 \ubc0f \uac00\uc124 \uac80\uc815\uc744 \uc218\ud589\ud560 \ub54c \ubc94\ud560 \uc218 \uc788\ub294 \uc2e4\uc218\uc5d0 \ub300\ud574 \uc54c\uc544\ubd05\ub2c8\ub2e4. \uac00\uc124 \uac80\uc815\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c? \uac00\uc124 \uac80\uc815\uc740 \ud1b5\uacc4\uc801 \uac00\uc124\uc744 \uae30\uac01\ud558\uac70\ub098 \uac70\ubd80\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uc808\ucc28\uc785\ub2c8\ub2e4. \uac00\uc124 \uac80\uc815\uc5d0\uc11c\ub294 \ubaa8\uc9d1\ub2e8 \ub9e4\uac1c\ubcc0\uc218\uc758 \uac12\uc774 \ud574\ub2f9 \ubaa8\uc9d1\ub2e8 \ud45c\ubcf8\uc5d0\uc11c \uad00\ucc30\ub41c \uac12\uacfc \ud638\ud658\ub418\ub294\uc9c0 \uc5ec\ubd80\ub97c \ud310\ub2e8\ud569\ub2c8\ub2e4. \uc989, \uac00\uc124\uac80\uc815\uc5d0\uc11c\ub294 \ud1b5\uacc4\uc801 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[],"class_list":["post-268","post","type-post","status-publish","format-standard","hentry","category-23"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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