{"id":1191,"date":"2023-06-22T01:59:53","date_gmt":"2023-06-22T01:59:53","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-apply-it-1\/"},"modified":"2025-05-16T03:16:42","modified_gmt":"2025-05-16T03:16:42","slug":"sample-size-for-proportions-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sample-size-for-proportions-apply-it-1\/","title":{"raw":"Sample Size for Proportions: Apply It 1","rendered":"Sample Size for Proportions: Apply It 1"},"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<h2>Is my sample big enough?<\/h2>\r\n<p>We encounter a variety of statistics on a daily basis. Journalists report polling data on upcoming elections, advertisers tell us how many people prefer their products over competitors, and healthcare researchers tell us the prevalence of a given disease across the country. Responsible researchers remind us that these reported statistics fall within a margin of error, but the size of that margin can vary greatly from study to study.<\/p>\r\n<p><img class=\"aligncenter wp-image-110 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23211549\/Picture1-2.jpg\" alt=\"A woman at her desk looking at graphs of data and taking notes.\" width=\"300\" height=\"201\" \/><\/p>\r\n<p>Recall that we can calculate the minimum sample size necessary for a study if we know the desired confidence level, the acceptable margin of error, and the population proportion. (Alternately, we can take a conservative approach and use [latex]0.5[\/latex] for the proportion.)<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]918[\/ohm2_question]<\/section>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\r\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1660[\/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<h2>Is my sample big enough?<\/h2>\n<p>We encounter a variety of statistics on a daily basis. Journalists report polling data on upcoming elections, advertisers tell us how many people prefer their products over competitors, and healthcare researchers tell us the prevalence of a given disease across the country. Responsible researchers remind us that these reported statistics fall within a margin of error, but the size of that margin can vary greatly from study to study.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-110 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23211549\/Picture1-2.jpg\" alt=\"A woman at her desk looking at graphs of data and taking notes.\" width=\"300\" height=\"201\" \/><\/p>\n<p>Recall that we can calculate the minimum sample size necessary for a study if we know the desired confidence level, the acceptable margin of error, and the population proportion. (Alternately, we can take a conservative approach and use [latex]0.5[\/latex] for the proportion.)<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm918\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=918&theme=lumen&iframe_resize_id=ohm918&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1660\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1660&theme=lumen&iframe_resize_id=ohm1660&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":26,"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":"apply_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\/1191"}],"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":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1191\/revisions"}],"predecessor-version":[{"id":6736,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1191\/revisions\/6736"}],"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\/1191\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1191"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1191"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1191"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}