{"id":1429,"date":"2023-06-22T02:23:08","date_gmt":"2023-06-22T02:23:08","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/fishers-exact-test-learn-it-3\/"},"modified":"2025-05-16T23:49:41","modified_gmt":"2025-05-16T23:49:41","slug":"fishers-exact-test-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/fishers-exact-test-learn-it-3\/","title":{"raw":"Fisher's Exact Test \u2013 Learn It 3","rendered":"Fisher&#8217;s Exact Test \u2013 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;Check the conditions for Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Check the conditions for Fisher\u2019s Exact Test<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain the relationship of two qualitative binary variables using Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Explain the relationship of two qualitative binary variables using Fisher\u2019s Exact Test<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox recall\">Steps for <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Fisher\u2019s Exact Test of Independence <\/span>Hypothesis Test:\r\n\r\n<ol>\r\n\t<li>Write out the null and alternative hypotheses.\r\n\r\n<ul>\r\n\t<li>[latex]H_0[\/latex]: The two variables are independent.<\/li>\r\n\t<li>[latex]H_A[\/latex]: The two variables are\u00a0<em>not<\/em>\u00a0independent.<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t<li>Check the conditions for the hypothesis test.\r\n\r\n<ul>\r\n\t<li aria-level=\"2\">Independence\/Randomness Condition:\u00a0The sample from our population should be independent, random sample or independent sample that can be considered representative of the population.<\/li>\r\n\t<li aria-level=\"2\">2x2 contingency table: The variables for our study need to be categorical and binary, giving us two categories by two categories of data<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the test statistic.<\/li>\r\n\t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate a [latex]P[\/latex]-value.<\/li>\r\n\t<li style=\"font-weight: 400;\" aria-level=\"1\">Compare the [latex]P[\/latex]-value to the significance level, [latex]\\alpha[\/latex], to make a decision.<\/li>\r\n\t<li style=\"font-weight: 400;\" aria-level=\"1\">Write a conclusion in context (e.g., we do\/do not have convincing evidence\u2026).<\/li>\r\n<\/ol>\r\n<\/section>\r\n<p>Now suppose that, instead of comparing black helmets to other colors, the researchers wanted to compare red helmets to other colors.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]17695[\/ohm2_question]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]17696[\/ohm2_question]<\/p>\r\n<\/section>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" width=\"100%\" height=\"700\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" 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]17697[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Check the conditions for Fisher\u2019s Exact Test<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain the relationship of two qualitative binary variables using Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Explain the relationship of two qualitative binary variables using Fisher\u2019s Exact Test<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox recall\">Steps for <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for Fisher's Exact Test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Fisher\u2019s Exact Test of Independence <\/span>Hypothesis Test:<\/p>\n<ol>\n<li>Write out the null and alternative hypotheses.\n<ul>\n<li>[latex]H_0[\/latex]: The two variables are independent.<\/li>\n<li>[latex]H_A[\/latex]: The two variables are\u00a0<em>not<\/em>\u00a0independent.<\/li>\n<\/ul>\n<\/li>\n<li>Check the conditions for the hypothesis test.\n<ul>\n<li aria-level=\"2\">Independence\/Randomness Condition:\u00a0The sample from our population should be independent, random sample or independent sample that can be considered representative of the population.<\/li>\n<li aria-level=\"2\">2&#215;2 contingency table: The variables for our study need to be categorical and binary, giving us two categories by two categories of data<\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the test statistic.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate a [latex]P[\/latex]-value.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Compare the [latex]P[\/latex]-value to the significance level, [latex]\\alpha[\/latex], to make a decision.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Write a conclusion in context (e.g., we do\/do not have convincing evidence\u2026).<\/li>\n<\/ol>\n<\/section>\n<p>Now suppose that, instead of comparing black helmets to other colors, the researchers wanted to compare red helmets to other colors.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm17695\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=17695&theme=lumen&iframe_resize_id=ohm17695&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm17696\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=17696&theme=lumen&iframe_resize_id=ohm17696&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" width=\"100%\" height=\"700\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm17697\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=17697&theme=lumen&iframe_resize_id=ohm17697&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":36,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1388,"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\/1429"}],"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\/1429\/revisions"}],"predecessor-version":[{"id":6885,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1429\/revisions\/6885"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1388"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1429\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1429"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1429"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1429"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}