{"id":1261,"date":"2023-06-22T02:09:45","date_gmt":"2023-06-22T02:09:45","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/connecting-tests-intervals-learn-it-3\/"},"modified":"2024-01-11T22:32:10","modified_gmt":"2024-01-11T22:32:10","slug":"connecting-tests-intervals-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/connecting-tests-intervals-learn-it-3\/","title":{"raw":"Connecting Tests and Intervals: Learn It 3","rendered":"Connecting Tests and Intervals: Learn It 3"},"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;Explain how a confidence interval is related to a two-sided hypothesis test&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;}\">Explain how a confidence interval is related to a two-sided hypothesis test.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<p><strong>Experiment:<\/strong> Researchers asked the participants to stabilize the roof to avoid squashing the figurine. About half the participants were told: \"Each piece you add costs [latex]10 [\/latex]cents.\" Even with that financial penalty, only [latex]40[\/latex] out of [latex]98[\/latex] participants thought to remove the destabilizing block and just rest the roof on top of the wide pillar. The researchers gave the remaining participants a more explicit message: \"Each piece you add costs [latex]10[\/latex] cents but removing pieces is free.\" That cue prompted [latex]60[\/latex] out of [latex]99[\/latex] participants to remove the block.\u201d<\/p>\r\n<p>Let\u2019s use technology to find the confidence interval for the difference between two proportions and use it to make inference about the population.<\/p>\r\n<p>[reveal-answer q=\"782856\"]Steps to obtain the confidence interval.[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"782856\"]<\/p>\r\n<ul>\r\n\t<li>Under <strong>Enter Data<\/strong>, select <strong>Number of Successes<\/strong>.<\/li>\r\n\t<li>Input the information for Group 1 and Group 2 accordingly.<\/li>\r\n\t<li>Adjust the <strong>Confidence Level<\/strong>\u00a0according to your scenario.[\/hidden-answer]<\/li>\r\n<\/ul>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/ \" width=\"100%\" height=\"1300\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\"><\/span><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/2sample_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]11082[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain how a confidence interval is related to a two-sided hypothesis test&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;}\">Explain how a confidence interval is related to a two-sided hypothesis test.<\/span><\/li>\n<\/ul>\n<\/section>\n<p><strong>Experiment:<\/strong> Researchers asked the participants to stabilize the roof to avoid squashing the figurine. About half the participants were told: &#8220;Each piece you add costs [latex]10[\/latex]cents.&#8221; Even with that financial penalty, only [latex]40[\/latex] out of [latex]98[\/latex] participants thought to remove the destabilizing block and just rest the roof on top of the wide pillar. The researchers gave the remaining participants a more explicit message: &#8220;Each piece you add costs [latex]10[\/latex] cents but removing pieces is free.&#8221; That cue prompted [latex]60[\/latex] out of [latex]99[\/latex] participants to remove the block.\u201d<\/p>\n<p>Let\u2019s use technology to find the confidence interval for the difference between two proportions and use it to make inference about the population.<\/p>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q782856\">Steps to obtain the confidence interval.<\/button><\/p>\n<div id=\"q782856\" class=\"hidden-answer\" style=\"display: none\">\n<ul>\n<li>Under <strong>Enter Data<\/strong>, select <strong>Number of Successes<\/strong>.<\/li>\n<li>Input the information for Group 1 and Group 2 accordingly.<\/li>\n<li>Adjust the <strong>Confidence Level<\/strong>\u00a0according to your scenario.<\/div>\n<\/div>\n<\/li>\n<\/ul>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\" width=\"100%\" height=\"1300\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\"><\/span><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/2sample_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=\"ohm11082\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=11082&theme=lumen&iframe_resize_id=ohm11082&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":42,"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":"learn_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\/1261"}],"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":4,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1261\/revisions"}],"predecessor-version":[{"id":5097,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1261\/revisions\/5097"}],"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\/1261\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1261"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1261"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1261"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}