In a survey of 930 students in a school, 92% reported having pets at home. What is the margin of error? Use the formula \u00b1 1\/vn where n is the population <\/p>\n\n\n\n
A. \u00b113.3% <\/p>\n\n\n\n
B. \u00b130.5% <\/p>\n\n\n\n
C. \u00b11.2% <\/p>\n\n\n\n
D. \u00b115.8%<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To calculate the margin of error, we are using the formula:<\/p>\n\n\n\n [ where n<\/strong> is the sample size or population. In this case, n = 930<\/strong> students.<\/p>\n\n\n\n Step 1: Compute the square root of n<\/strong>.<\/p>\n\n\n\n [ Step 2: Now, apply the formula:<\/p>\n\n\n\n [ Step 3: Convert this into a percentage by multiplying by 100:<\/p>\n\n\n\n [ Given this result, none of the provided options exactly match \u00b13.28%. However, since the problem offers choices where rounding may play a role, let\u2019s focus on the key aspects.<\/p>\n\n\n\n Therefore, while the closest match in magnitude is \u00b13.28%, none of the choices exactly reflect this<\/strong>. Given the formula and the population size, the calculation reveals that none of the provided answers<\/strong> (A through D) are accurate representations of the correct margin of error.<\/p>\n","protected":false},"excerpt":{"rendered":" In a survey of 930 students in a school, 92% reported having pets at home. What is the margin of error? Use the formula \u00b1 1\/vn where n is the population A. \u00b113.3% B. \u00b130.5% C. \u00b11.2% D. \u00b115.8% The Correct Answer and Explanation is : To calculate the margin of error, we are using […]<\/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-156394","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156394","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=156394"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156394\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\text{Margin of Error} = \\pm \\frac{1}{\\sqrt{n}}
]<\/p>\n\n\n\n
\\sqrt{930} \\approx 30.5
]<\/p>\n\n\n\n
\\text{Margin of Error} = \\pm \\frac{1}{30.5} \\approx \\pm 0.0328
]<\/p>\n\n\n\n
\\text{Margin of Error} = \\pm 3.28\\%
]<\/p>\n\n\n\nAnalysis of Answer Choices:<\/h3>\n\n\n\n
\n