{"id":33767,"date":"2024-04-15T09:21:23","date_gmt":"2024-04-15T09:21:23","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33767"},"modified":"2024-04-15T09:21:23","modified_gmt":"2024-04-15T09:21:23","slug":"consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/","title":{"rendered":"Consider the following statement and identify the wrong statements. Statement I: Accepting null hypothesis, when it is false, is called a level of significance. Statement II: $$1 &#8211; \\alpha $$ is called power of a test. Statement III: Critical value of $$Z$$ &#8211; static for two-tailed test at 5% level of significance is 1.96."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Statements I, II and III&#8221; option2=&#8221;Statements I and III&#8221; option3=&#8221;Statements II and III&#8221; option4=&#8221;Statements I and II&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is: Statements I and II.<\/p>\n<p>Statement I is incorrect because accepting the null hypothesis when it is false is called a type II error. Statement II is correct because $1 &#8211; \\alpha$ is called the power of a test. Statement III is correct because the critical value of $Z$-statistic for a two-tailed test at 5% level of significance is 1.96.<\/p>\n<p>Here is a brief explanation of each statement:<\/p>\n<ul>\n<li>Statement I: Accepting null hypothesis, when it is false, is called a level of significance.<\/li>\n<\/ul>\n<p>This is incorrect. Accepting the null hypothesis when it is false is called a type II error. The level of significance is the probability of rejecting the null hypothesis when it is true.<\/p>\n<ul>\n<li>Statement II: $1 &#8211; \\alpha$ is called power of a test.<\/li>\n<\/ul>\n<p>This is correct. The power of a test is the probability of rejecting the null hypothesis when it is false. It is equal to $1 &#8211; \\alpha$, where $\\alpha$ is the level of significance.<\/p>\n<ul>\n<li>Statement III: Critical value of $Z$-static for two-tailed test at 5% level of significance is 1.96.<\/li>\n<\/ul>\n<p>This is correct. The critical value of $Z$-statistic for a two-tailed test at 5% level of significance is 1.96. This means that if the $Z$-statistic is greater than or equal to 1.96, we reject the null hypothesis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Statements I, II and III&#8221; option2=&#8221;Statements I and III&#8221; option3=&#8221;Statements II and III&#8221; option4=&#8221;Statements I and II&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[701],"tags":[],"class_list":["post-33767","post","type-post","status-publish","format-standard","hentry","category-business-statistics-and-research-methods","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Consider the following statement and identify the wrong statements. Statement I: Accepting null hypothesis, when it is false, is called a level of significance. Statement II: $$1 - \\alpha $$ is called power of a test. Statement III: Critical value of $$Z$$ - static for two-tailed test at 5% level of significance is 1.96.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the following statement and identify the wrong statements. Statement I: Accepting null hypothesis, when it is false, is called a level of significance. 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Statement III: Critical value of $$Z$$ - static for two-tailed test at 5% level of significance is 1.96.\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;Statements I, II and III&#8221; option2=&#8221;Statements I and III&#8221; option3=&#8221;Statements II and III&#8221; option4=&#8221;Statements I and II&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T09:21:23+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider the following statement and identify the wrong statements. Statement I: Accepting null hypothesis, when it is false, is called a level of significance. Statement II: $$1 - \\alpha $$ is called power of a test. Statement III: Critical value of $$Z$$ - static for two-tailed test at 5% level of significance is 1.96.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/","og_locale":"en_US","og_type":"article","og_title":"Consider the following statement and identify the wrong statements. Statement I: Accepting null hypothesis, when it is false, is called a level of significance. Statement II: $$1 - \\alpha $$ is called power of a test. Statement III: Critical value of $$Z$$ - static for two-tailed test at 5% level of significance is 1.96.","og_description":"[amp_mcq option1=&#8221;Statements I, II and III&#8221; option2=&#8221;Statements I and III&#8221; option3=&#8221;Statements II and III&#8221; option4=&#8221;Statements I and II&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T09:21:23+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statement-and-identify-the-wrong-statements-statement-i-accepting-null-hypothesis-when-it-is-false-is-called-a-level-of-significance-statement-ii-1-alpha-is-calle\/","name":"Consider the following statement and identify the wrong statements. 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