{"id":1185,"date":"2023-06-22T01:59:49","date_gmt":"2023-06-22T01:59:49","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-background-youll-need-1\/"},"modified":"2025-05-16T03:05:15","modified_gmt":"2025-05-16T03:05:15","slug":"sample-size-for-proportions-background-youll-need-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-background-youll-need-1\/","title":{"raw":"Module 9: Background You'll Need 4","rendered":"Module 9: 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;Convert between fractions, decimals, and percentages&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Convert between fractions, decimals, and percentages.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Parts of the Whole<\/h2>\r\n<p>In many types of research, we work with data that can be expressed with simple \u201cyes\u201d or \u201cno\u201d answers. Do you support the new law proposed in Congress? Does that patient have diabetes? Do cars come equipped with automatic braking? When we report the number of \u201cyes\u201d responses as a portion of the population or sample, we use a <strong>proportion<\/strong>.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1655[\/ohm2_question]<\/section>\r\n<section class=\"textbox recall\">Here's how to convert decimals and fractions to percentages:\r\n\r\n<ol>\r\n\t<li>Write the decimal as a fraction.<\/li>\r\n\t<li>If the denominator of the fraction is not [latex]100[\/latex], rewrite it as an equivalent fraction with a denominator of [latex]100[\/latex].<\/li>\r\n\t<li>Write this new ratio as a percent, since anything over [latex]100[\/latex] is that percent.<\/li>\r\n<\/ol>\r\n<p style=\"text-align: center;\">Example: [latex]0.8 = \\dfrac{8}{10}=\\dfrac{4}{5}=\\dfrac{80}{100}=80\\%[\/latex]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1656[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Convert between fractions, decimals, and percentages&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Convert between fractions, decimals, and percentages.<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Parts of the Whole<\/h2>\n<p>In many types of research, we work with data that can be expressed with simple \u201cyes\u201d or \u201cno\u201d answers. Do you support the new law proposed in Congress? Does that patient have diabetes? Do cars come equipped with automatic braking? When we report the number of \u201cyes\u201d responses as a portion of the population or sample, we use a <strong>proportion<\/strong>.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1655\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1655&theme=lumen&iframe_resize_id=ohm1655&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox recall\">Here&#8217;s how to convert decimals and fractions to percentages:<\/p>\n<ol>\n<li>Write the decimal as a fraction.<\/li>\n<li>If the denominator of the fraction is not [latex]100[\/latex], rewrite it as an equivalent fraction with a denominator of [latex]100[\/latex].<\/li>\n<li>Write this new ratio as a percent, since anything over [latex]100[\/latex] is that percent.<\/li>\n<\/ol>\n<p style=\"text-align: center;\">Example: [latex]0.8 = \\dfrac{8}{10}=\\dfrac{4}{5}=\\dfrac{80}{100}=80\\%[\/latex]<\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1656\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1656&theme=lumen&iframe_resize_id=ohm1656&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":1163,"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\/1185"}],"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":6,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1185\/revisions"}],"predecessor-version":[{"id":6717,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1185\/revisions\/6717"}],"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\/1185\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1185"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1185"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1185"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}