{"id":1527,"date":"2023-06-22T02:40:21","date_gmt":"2023-06-22T02:40:21","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/simulation-based-hypothesis-test-for-a-population-proportion-apply-it-3\/"},"modified":"2024-03-01T20:23:26","modified_gmt":"2024-03-01T20:23:26","slug":"simulation-based-hypothesis-test-for-a-population-proportion-apply-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/simulation-based-hypothesis-test-for-a-population-proportion-apply-it-3\/","title":{"raw":"Simulation-Based Hypothesis Test for a Population Proportion \u2013 Apply It 3","rendered":"Simulation-Based Hypothesis Test for a Population Proportion \u2013 Apply 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;Complete a simulation-based hypothesis test involving a single proportion&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6913,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:4,&quot;12&quot;:0,&quot;14&quot;:{&quot;1&quot;:2,&quot;2&quot;:0},&quot;15&quot;:&quot;Calibri&quot;}\">Complete a simulation-based hypothesis test involving a single proportion<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>The inspiration for this topic is a TED talk given by Vilayanur Ramachandran in 2007. In this talk, he explains how sound and vision are linked in the human mind, a concept called \u201csynesthesia.\u201d Since humans tend to associate sharp sounds with sharp-looking objects and soft sounds with rounded objects, most of the students will associate the Bumba name with the rounded letter and Kiki with the sharp-edged letter. Obviously, we can\u2019t read \u201cMartian\u201d and these letters are made up, so we want to test the theory of why we might be more likely to associate Bumba with the rounded letter.<\/p>\r\n<p>Let's conduct the hypothesis testing by simulating [latex]1,000[\/latex] guesses\/trials using our statistical software!<\/p>\r\n<section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3661[\/ohm2_question]<\/section>\r\n<\/section>\r\n<section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3662[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3663[\/ohm2_question]<\/section>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3656[\/ohm2_question]<\/section>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" width=\"100%\" height=\"1075\" frameborder=\"no\"><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_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]3664[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3665[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3666[\/ohm2_question]\u00a0<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Complete a simulation-based hypothesis test involving a single proportion&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6913,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:4,&quot;12&quot;:0,&quot;14&quot;:{&quot;1&quot;:2,&quot;2&quot;:0},&quot;15&quot;:&quot;Calibri&quot;}\">Complete a simulation-based hypothesis test involving a single proportion<\/span><\/li>\n<\/ul>\n<\/section>\n<p>The inspiration for this topic is a TED talk given by Vilayanur Ramachandran in 2007. In this talk, he explains how sound and vision are linked in the human mind, a concept called \u201csynesthesia.\u201d Since humans tend to associate sharp sounds with sharp-looking objects and soft sounds with rounded objects, most of the students will associate the Bumba name with the rounded letter and Kiki with the sharp-edged letter. Obviously, we can\u2019t read \u201cMartian\u201d and these letters are made up, so we want to test the theory of why we might be more likely to associate Bumba with the rounded letter.<\/p>\n<p>Let&#8217;s conduct the hypothesis testing by simulating [latex]1,000[\/latex] guesses\/trials using our statistical software!<\/p>\n<section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3661\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3661&theme=lumen&iframe_resize_id=ohm3661&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<\/section>\n<section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3662\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3662&theme=lumen&iframe_resize_id=ohm3662&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3663\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3663&theme=lumen&iframe_resize_id=ohm3663&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3656\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3656&theme=lumen&iframe_resize_id=ohm3656&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" width=\"100%\" height=\"1075\" frameborder=\"no\"><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_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=\"ohm3664\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3664&theme=lumen&iframe_resize_id=ohm3664&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3665\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3665&theme=lumen&iframe_resize_id=ohm3665&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3666\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3666&theme=lumen&iframe_resize_id=ohm3666&source=tnh\" width=\"100%\" height=\"150\"><\/iframe>\u00a0<\/section>\n","protected":false},"author":8,"menu_order":23,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1502,"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\/1527"}],"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":5,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1527\/revisions"}],"predecessor-version":[{"id":5895,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1527\/revisions\/5895"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1502"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1527\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1527"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1527"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1527"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1527"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}