{"id":1182,"date":"2023-06-22T01:59:47","date_gmt":"2023-06-22T01:59:47","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-proportions-continued-apply-it-1\/"},"modified":"2025-05-16T03:14:04","modified_gmt":"2025-05-16T03:14:04","slug":"confidence-interval-for-proportions-continued-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-proportions-continued-apply-it-1\/","title":{"raw":"Confidence Interval for Proportions (continued): Apply It 1","rendered":"Confidence Interval for Proportions (continued): Apply It 1"},"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;Calculate a confidence interval and explain what it means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate a confidence interval and explain what it means.<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Recognize common misinterpretations of confidence intervals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Recognize common misinterpretations of confidence intervals.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Wear Sunscreen!<\/h2>\r\n<p><img class=\"aligncenter wp-image-91 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23211544\/Picture1-1.jpg\" alt=\"Image of a yellow umbrella blocking the sun.\" width=\"300\" height=\"200\" \/><\/p>\r\n<p style=\"text-align: left;\">According to the Centers for Disease Control and Prevention (CDC), when you are outdoors, you may be exposed to the sun\u2019s harmful ultraviolet (UV) rays. You are at the highest risk for UV exposure when you are traveling near the equator, during summer months, at high elevations, or between [latex]10[\/latex]AM to [latex]4[\/latex]PM. You can also be exposed to UV rays on cloudy days and during the winter. UV rays reflect on the snow, sand, and water.<\/p>\r\n<p style=\"text-align: left;\">Without protection from the sun\u2019s ultraviolet (UV) rays, damage can be done to your skin in as little as [latex]15[\/latex] minutes. Over time, this damage can increase the risk of developing skin cancer; thus, it is important to always practice \u201csun safety,\u201d such as wearing sunscreen and sunglasses and taking breaks in the shade.[footnote]Centers for Disease Control and Prevention. (2018, December 13). Sun exposure. https:\/\/wwwnc.cdc.gov\/travel\/page\/sun-exposure[\/footnote]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1637[\/ohm2_question]<\/section>\r\n<section class=\"textbox recall\"><strong><strong><strong>Conditions for confidence intervals for proportions<\/strong><\/strong><\/strong>\u00a0\r\n\r\n<p>When constructing confidence intervals for a proportion, remember that it is important to first confirm that the following conditions are met:<\/p>\r\n<ul>\r\n\t<li>Random sampling is used.<\/li>\r\n\t<li>The sample is less than [latex]10\\%[\/latex] of the population. (Although it is not specified, we can typically assume that the sample is less than [latex]10\\%[\/latex] 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 \u2212 \\hat{p}) \\geq 10[\/latex].<\/li>\r\n<\/ul>\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]1638[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate a confidence interval and explain what it means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate a confidence interval and explain what it means.<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Recognize common misinterpretations of confidence intervals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Recognize common misinterpretations of confidence intervals.<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Wear Sunscreen!<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-91 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23211544\/Picture1-1.jpg\" alt=\"Image of a yellow umbrella blocking the sun.\" width=\"300\" height=\"200\" \/><\/p>\n<p style=\"text-align: left;\">According to the Centers for Disease Control and Prevention (CDC), when you are outdoors, you may be exposed to the sun\u2019s harmful ultraviolet (UV) rays. You are at the highest risk for UV exposure when you are traveling near the equator, during summer months, at high elevations, or between [latex]10[\/latex]AM to [latex]4[\/latex]PM. You can also be exposed to UV rays on cloudy days and during the winter. UV rays reflect on the snow, sand, and water.<\/p>\n<p style=\"text-align: left;\">Without protection from the sun\u2019s ultraviolet (UV) rays, damage can be done to your skin in as little as [latex]15[\/latex] minutes. Over time, this damage can increase the risk of developing skin cancer; thus, it is important to always practice \u201csun safety,\u201d such as wearing sunscreen and sunglasses and taking breaks in the shade.<a class=\"footnote\" title=\"Centers for Disease Control and Prevention. (2018, December 13). Sun exposure. https:\/\/wwwnc.cdc.gov\/travel\/page\/sun-exposure\" id=\"return-footnote-1182-1\" href=\"#footnote-1182-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1637\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1637&theme=lumen&iframe_resize_id=ohm1637&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox recall\"><strong><strong><strong>Conditions for confidence intervals for proportions<\/strong><\/strong><\/strong>\u00a0<\/p>\n<p>When constructing confidence intervals for a proportion, remember that it is important to first confirm that the following conditions are met:<\/p>\n<ul>\n<li>Random sampling is used.<\/li>\n<li>The sample is less than [latex]10\\%[\/latex] of the population. (Although it is not specified, we can typically assume that the sample is less than [latex]10\\%[\/latex] of the population.)<\/li>\n<li>The sample is large enough that [latex]n\\hat{p} \\geq 10[\/latex] and [latex]n(1 \u2212 \\hat{p}) \\geq 10[\/latex].<\/li>\n<\/ul>\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=\"ohm1638\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1638&theme=lumen&iframe_resize_id=ohm1638&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-1182-1\">Centers for Disease Control and Prevention. (2018, December 13). Sun exposure. https:\/\/wwwnc.cdc.gov\/travel\/page\/sun-exposure <a href=\"#return-footnote-1182-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":8,"menu_order":19,"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\/1182"}],"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\/1182\/revisions"}],"predecessor-version":[{"id":6732,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1182\/revisions\/6732"}],"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\/1182\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1182"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1182"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1182"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}