{"id":568,"date":"2012-03-30T09:56:29","date_gmt":"2012-03-30T09:56:29","guid":{"rendered":"http:\/\/www.faultorfeature.com\/?p=568"},"modified":"2012-03-30T09:56:29","modified_gmt":"2012-03-30T09:56:29","slug":"qa-a-manufacturer-of-plastic-bags-is-ready-to-make-a-recall","status":"publish","type":"post","link":"https:\/\/www.faultorfeature.com\/?p=568","title":{"rendered":"Q&amp;A: A manufacturer of plastic bags is ready to make a recall.?"},"content":{"rendered":"<p><strong><i>Question by <\/i>: A manufacturer of plastic bags is ready to make a recall.?<\/strong><\/p>\n<p>A manufacturer of plastic bags is ready to issue a recall of their product if more than 3.8% of them are defective. They examine 478 of their bags, and of those 478 bags, 12 of them are found to be defective.<\/p>\n<p> What is the test statistic z-value of this study?<br \/>\nPlease please please help me i have no idea how to do this!<\/p>\n<p><strong>Best answer:<\/strong><\/p>\n<p><i>Answer by Aaron<\/i><br \/>Well, your sample proportion, p-hat, is 12\/478 = .0251.<br \/>\nThe z-score for this would be calculated with z = (p-hat &#8211; hypothesized p)\/(stdev)<br \/>\nThe stdev for the sampling distribution of sample proportions is ?((p-hat*q-hat)\/n), where q-hat = 1 &#8211; p-hat.<br \/>\nSo, z = (.0251 &#8211; .038)\/?((.0251)(.9749)\/478) = -1.80<\/p>\n<p><strong>What do you think? Answer below!<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Question by : A manufacturer of plastic bags is ready to make a recall.? A manufacturer of plastic bags is ready to issue a recall of their product if more than 3.8% of them are defective. They examine 478 of their bags, and of those 478 bags, 12 of them are found to be defective. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[1605,830,1604,1118,29],"class_list":["post-568","post","type-post","status-publish","format-standard","hentry","category-recalls","tag-bags","tag-manufacturer","tag-plastic","tag-ready","tag-recall"],"_links":{"self":[{"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=\/wp\/v2\/posts\/568","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=568"}],"version-history":[{"count":0,"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=\/wp\/v2\/posts\/568\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.faultorfeature.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}