{"id":1174,"date":"2023-06-22T01:59:40","date_gmt":"2023-06-22T01:59:40","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-proportions-apply-it-2\/"},"modified":"2025-05-16T03:11:47","modified_gmt":"2025-05-16T03:11:47","slug":"confidence-interval-for-proportions-apply-it-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-proportions-apply-it-2\/","title":{"raw":"Confidence Interval for Proportions: Apply It 2","rendered":"Confidence Interval for Proportions: Apply It 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li class=\"li1\">Check the conditions for creating a confidence interval for population proportion.<\/li>\r\n\t<li class=\"li1\">Describe the connection between the confidence level and the confidence interval.<\/li>\r\n\t<li class=\"li1\">Calculate a confidence interval for a population proportion.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Confidence interval for proportions<\/h2>\r\n<p>Rather than using a simple point estimate, let\u2019s calculate confidence intervals for a population proportion using our statistical tool.<\/p>\r\n<section class=\"textbox interact\"><strong>Step 1: <\/strong>Change the <strong>Enter Data<\/strong>\u00a0box to <strong>Number of Successes<\/strong>.<strong><br \/>\r\n<br \/>\r\nStep 2: <\/strong>Input the sample size ([latex]n[\/latex]) and the number of successes ([latex]x[\/latex]).<strong><br \/>\r\n<br \/>\r\nStep 3: <\/strong>Specify appropriate labels for success\/failure by checking the appropriate boxes and typing in labels.<strong><br \/>\r\n<br \/>\r\nStep 4: <\/strong>Slide the confidence level to the desired level. The default is [latex]95\\%[\/latex].\r\n\r\n<p><strong>Step 5: <\/strong>View the [latex]z[\/latex] critical value by selecting the box <strong>Show [latex]z[\/latex]-score for Margin of Error<\/strong>.<\/p>\r\n<p><strong>Step 6: <\/strong>The confidence interval will appear to the right along with the point estimate, standard error, margin of error, and [latex]z[\/latex] critical value (labeled as <strong>[latex]z[\/latex]-score<\/strong>).<\/p>\r\n<\/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]1622[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1623[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li class=\"li1\">Check the conditions for creating a confidence interval for population proportion.<\/li>\n<li class=\"li1\">Describe the connection between the confidence level and the confidence interval.<\/li>\n<li class=\"li1\">Calculate a confidence interval for a population proportion.<\/li>\n<\/ul>\n<\/section>\n<h2>Confidence interval for proportions<\/h2>\n<p>Rather than using a simple point estimate, let\u2019s calculate confidence intervals for a population proportion using our statistical tool.<\/p>\n<section class=\"textbox interact\"><strong>Step 1: <\/strong>Change the <strong>Enter Data<\/strong>\u00a0box to <strong>Number of Successes<\/strong>.<strong><\/p>\n<p>Step 2: <\/strong>Input the sample size ([latex]n[\/latex]) and the number of successes ([latex]x[\/latex]).<strong><\/p>\n<p>Step 3: <\/strong>Specify appropriate labels for success\/failure by checking the appropriate boxes and typing in labels.<strong><\/p>\n<p>Step 4: <\/strong>Slide the confidence level to the desired level. The default is [latex]95\\%[\/latex].<\/p>\n<p><strong>Step 5: <\/strong>View the [latex]z[\/latex] critical value by selecting the box <strong>Show [latex]z[\/latex]-score for Margin of Error<\/strong>.<\/p>\n<p><strong>Step 6: <\/strong>The confidence interval will appear to the right along with the point estimate, standard error, margin of error, and [latex]z[\/latex] critical value (labeled as <strong>[latex]z[\/latex]-score<\/strong>).<\/p>\n<\/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=\"ohm1622\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1622&theme=lumen&iframe_resize_id=ohm1622&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1623\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1623&theme=lumen&iframe_resize_id=ohm1623&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":13,"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\/1174"}],"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":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1174\/revisions"}],"predecessor-version":[{"id":6726,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1174\/revisions\/6726"}],"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\/1174\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1174"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1174"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1174"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}