{"id":1218,"date":"2023-06-22T02:09:14","date_gmt":"2023-06-22T02:09:14","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/test-statistics-background-youll-need-2\/"},"modified":"2024-01-08T21:49:47","modified_gmt":"2024-01-08T21:49:47","slug":"test-statistics-background-youll-need-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/test-statistics-background-youll-need-2\/","title":{"raw":"Module 10: Background You'll Need 4","rendered":"Module 10: Background You&#8217;ll Need 4"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Use a normal distribution to describe sampling variability&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Use a normal distribution to describe sampling variability.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>sampling distribution of a sample proportion<\/h3>\r\n<p>A normal distribution can be used to describe the sampling distribution of a sample proportion as long as the <strong>sample size<\/strong> is large enough:<\/p>\r\n<p style=\"text-align: center\">[latex]np \\geq 10 [\/latex] and [latex]n(1-p) \\geq 10 [\/latex]<\/p>\r\n<p>The <strong>center<\/strong> of the sampling distribution will be equal to the value of the population proportion, [latex] p[\/latex].<\/p>\r\n<p>The <strong>standard error<\/strong> can be used to describe the spread of the sampling distribution. When the population proportion is known, the standard error calculated using the following formula is the standard deviation of the sampling distribution.<\/p>\r\n<p style=\"text-align: center\">[latex] SE = \\sqrt{\\frac{p(1-p)}{n}}[\/latex]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]932[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]933[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1698[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1699[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Use a normal distribution to describe sampling variability&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Use a normal distribution to describe sampling variability.<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox keyTakeaway\">\n<h3>sampling distribution of a sample proportion<\/h3>\n<p>A normal distribution can be used to describe the sampling distribution of a sample proportion as long as the <strong>sample size<\/strong> is large enough:<\/p>\n<p style=\"text-align: center\">[latex]np \\geq 10[\/latex] and [latex]n(1-p) \\geq 10[\/latex]<\/p>\n<p>The <strong>center<\/strong> of the sampling distribution will be equal to the value of the population proportion, [latex]p[\/latex].<\/p>\n<p>The <strong>standard error<\/strong> can be used to describe the spread of the sampling distribution. When the population proportion is known, the standard error calculated using the following formula is the standard deviation of the sampling distribution.<\/p>\n<p style=\"text-align: center\">[latex]SE = \\sqrt{\\frac{p(1-p)}{n}}[\/latex]<\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm932\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=932&theme=lumen&iframe_resize_id=ohm932&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm933\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=933&theme=lumen&iframe_resize_id=ohm933&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1698\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1698&theme=lumen&iframe_resize_id=ohm1698&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1699\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1699&theme=lumen&iframe_resize_id=ohm1699&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":5,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1205,"module-header":"background_you_need","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\/1218"}],"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":7,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1218\/revisions"}],"predecessor-version":[{"id":4838,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1218\/revisions\/4838"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1205"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1218\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1218"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1218"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1218"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}