Find the indicated critical value. z 0.09<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n The critical value for z\u2080.\u2080\u2089<\/strong> corresponds to the z-score where the cumulative area to the right is 0.09<\/strong> (or 9%). This means we need to find the z-score such that P(Z > z) = 0.09<\/strong>, which is equivalent to finding P(Z < z) = 1 – 0.09 = 0.91<\/strong>.<\/p>\n\n\n\n From the standard normal table (or using a statistical calculator), the z-score that corresponds to a cumulative probability of 0.91<\/strong> is approximately:<\/p>\n\n\n\n [ Thus, the final answer is<\/strong>:<\/p>\n\n\n\n [ Find the indicated critical value. z 0.09 The correct answer and explanation is : The critical value for z\u2080.\u2080\u2089 corresponds to the z-score where the cumulative area to the right is 0.09 (or 9%). This means we need to find the z-score such that P(Z > z) = 0.09, which is equivalent to finding P(Z […]<\/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-199688","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199688","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=199688"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199688\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199688"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199688"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199688"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
z_{0.09} = 1.34
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n
\n
A critical value<\/strong> is the boundary that separates the rejection region from the non-rejection region in hypothesis testing. It helps determine whether a test statistic falls within a confidence interval or in a region where we would reject the null hypothesis.<\/li>\n\n\n\n
A z-score<\/strong> represents the number of standard deviations a data point is from the mean in a standard normal distribution (mean = 0, standard deviation = 1). Z-scores are widely used in hypothesis testing, confidence intervals, and probability calculations.<\/li>\n\n\n\n\n
\n
The critical value z\u2080.\u2080\u2089 = 1.34<\/strong> means that 91%<\/strong> of the data falls below this value in a standard normal distribution. This is useful in hypothesis testing when determining significance levels.<\/li>\n<\/ol>\n\n\n\n
z_{0.09} = 1.34
]<\/p>\n","protected":false},"excerpt":{"rendered":"