{"id":1189,"date":"2023-06-22T01:59:52","date_gmt":"2023-06-22T01:59:52","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-learn-it-3\/"},"modified":"2024-02-05T20:27:33","modified_gmt":"2024-02-05T20:27:33","slug":"sample-size-for-proportions-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-learn-it-3\/","title":{"raw":"Sample Size for Proportions: Learn It 3","rendered":"Sample Size for Proportions: Learn It 3"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li class=\"li1\">Find the required sample size for a desired margin of error and population's confidence interval.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox recall\">It is important to note that the formula [latex] ME = z^{*} \\cdot (\\text{standard error})[\/latex] is valid only if certain conditions are met:\r\n\r\n<ul>\r\n\t<li>Random sampling is used.<\/li>\r\n\t<li>The sample is less than 10% of the population.<\/li>\r\n\t<li>The sample is large enough that [latex] n\\hat{p} \\geq 10 [\/latex] and [latex] n(1-\\hat{p}) \\geq 10 [\/latex].<\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1671[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li class=\"li1\">Find the required sample size for a desired margin of error and population&#8217;s confidence interval.<\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox recall\">It is important to note that the formula [latex]ME = z^{*} \\cdot (\\text{standard error})[\/latex] is valid only if certain conditions are met:<\/p>\n<ul>\n<li>Random sampling is used.<\/li>\n<li>The sample is less than 10% of the population.<\/li>\n<li>The sample is large enough that [latex]n\\hat{p} \\geq 10[\/latex] and [latex]n(1-\\hat{p}) \\geq 10[\/latex].<\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1671\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1671&theme=lumen&iframe_resize_id=ohm1671&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":24,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1163,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1189"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":4,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1189\/revisions"}],"predecessor-version":[{"id":5404,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1189\/revisions\/5404"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1163"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1189\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1189"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1189"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1189"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}