{"id":107444,"date":"2022-12-24T20:42:03","date_gmt":"2022-12-24T20:42:03","guid":{"rendered":"https:\/\/papersspot.com\/blog\/2022\/12\/24\/q-a-random-sample-of-900-people-in-the-uk-were-asked-to\/"},"modified":"2022-12-24T20:42:03","modified_gmt":"2022-12-24T20:42:03","slug":"q-a-random-sample-of-900-people-in-the-uk-were-asked-to","status":"publish","type":"post","link":"https:\/\/papersspot.com\/blog\/2022\/12\/24\/q-a-random-sample-of-900-people-in-the-uk-were-asked-to\/","title":{"rendered":"Q.A random sample of 900 people in the UK were asked to"},"content":{"rendered":"<p>Q.A random sample of 900 people in the UK were asked to respond to this statement: \u201cthe country\u2019s future economy is positive\u201d. Of these sample people, 594 agreed with the statement. When the same statement is was presented to a random sample of 900 people in the US, 540 agreed with the statement.<\/p>\n<p> a) Using a 1% significance level, perform a hypothesis test to determine if the proportion of people in the UK who agreed with the statement is different from that of the US<\/p>\n<p> b) Determine the p-value<\/p>\n<p> Q2: Given the following null and alternative hypotheses<\/p>\n<p> H :\u03c3 2 \u2264 \u03c3 2<\/p>\n<p> 0 1 2<\/p>\n<p> H :\u03c3 2 &gt; \u03c3 2<\/p>\n<p> 1 <\/p>\n<p> and the following sample information<\/p>\n<p> Sample 1<\/p>\n<p> Sample 2<\/p>\n<p> Sample size = 13<\/p>\n<p> Sample size = 21<\/p>\n<p> Sample variance = 1450<\/p>\n<p> Sample variance = 1320<\/p>\n<p> Test the hypothesis at 5% level of significance and indicate whether the null hypothesis should be rejected.<\/p>\n<p> The following statement was posed to a random sample of 900 people in the United Kingdom: &#8220;the country&#8217;s future economy is optimistic\u201d. 594 individuals in the sample agreed with the statement. When a random sample of 900 people in the United States were given the identical statement, 540 agreed with it.<\/p>\n<p> a) Using a 1% significance level, perform a hypothesis test to determine if the proportion of people in the UK who agreed with the statement is different from that of the US<\/p>\n<p> b) Determine the p-value<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q.A random sample of 900 people in the UK were asked to respond to this statement: \u201cthe country\u2019s future economy is positive\u201d. Of these sample people, 594 agreed with the statement. When the same statement is was presented to a random sample of 900 people in the US, 540 agreed with the statement. a) Using [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10],"class_list":["post-107444","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-writing"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/107444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=107444"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/107444\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=107444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=107444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=107444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}