{"id":258401,"date":"2025-07-18T06:43:58","date_gmt":"2025-07-18T06:43:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=258401"},"modified":"2025-07-18T06:44:06","modified_gmt":"2025-07-18T06:44:06","slug":"the-chi-square-value-for-a-one-tailed-upper-tail-hypothesis-test-at-95-confidence-and-a-sample-size-of-25-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/the-chi-square-value-for-a-one-tailed-upper-tail-hypothesis-test-at-95-confidence-and-a-sample-size-of-25-is\/","title":{"rendered":"The chi-square value for a one-tailed (upper tail) hypothesis test at 95% confidence and a sample size of 25 is"},"content":{"rendered":"\n<p>The chi-square value for a one-tailed (upper tail) hypothesis test at 95% confidence and a sample size of 25 is <\/p>\n\n\n\n<p>Select one:<\/p>\n\n\n\n<p> a. 39.3641 <\/p>\n\n\n\n<p>b. 37.6525 <\/p>\n\n\n\n<p>c. 36.4151 <\/p>\n\n\n\n<p>d. 33.1963<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>b. 37.6525<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To find the chi-square value for a one-tailed hypothesis test at a 95% confidence level with a sample size of 25, we need to consider the following:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Degrees of Freedom<\/strong>: In a chi-square test, the degrees of freedom (df) are calculated as: df=n\u22121df = n &#8211; 1 where nn is the sample size. In this case, with a sample size of 25, the degrees of freedom would be: df=25\u22121=24df = 25 &#8211; 1 = 24<\/li>\n\n\n\n<li><strong>Chi-Square Table Lookup<\/strong>: For a one-tailed upper test at a 95% confidence level, we are looking for the critical value corresponding to a 0.05 significance level (since 1 &#8211; 0.95 = 0.05) with 24 degrees of freedom.<\/li>\n\n\n\n<li><strong>Using a Chi-Square Distribution Table<\/strong>: By referencing a chi-square distribution table for 24 degrees of freedom and a 0.05 significance level (upper tail), the corresponding chi-square value is approximately <strong>37.6525<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>This value is critical for determining the threshold beyond which the observed test statistic would be considered statistically significant at the 95% confidence level. If the calculated chi-square statistic exceeds this critical value, the null hypothesis would be rejected, indicating that the observed data significantly deviates from the expected distribution.<\/p>\n\n\n\n<p>In summary, the chi-square value for a one-tailed (upper tail) hypothesis test at 95% confidence and a sample size of 25 is <strong>37.6525<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The chi-square value for a one-tailed (upper tail) hypothesis test at 95% confidence and a sample size of 25 is Select one: a. 39.3641 b. 37.6525 c. 36.4151 d. 33.1963 The correct answer and explanation is: The correct answer is b. 37.6525. Explanation: To find the chi-square value for a one-tailed hypothesis test at a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-258401","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258401","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=258401"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258401\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=258401"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=258401"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=258401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}