{"id":1425,"date":"2023-06-22T02:23:05","date_gmt":"2023-06-22T02:23:05","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/chi-square-test-of-independence-apply-it-1\/"},"modified":"2025-05-16T23:47:23","modified_gmt":"2025-05-16T23:47:23","slug":"chi-square-test-of-independence-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/chi-square-test-of-independence-apply-it-1\/","title":{"raw":"Chi-Square Test of Independence \u2013 Apply It 1","rendered":"Chi-Square Test of Independence \u2013 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;Complete a chi-square test of independence&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}\">Complete a chi-square test of independence<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write the conclusion of a chi-square test of independence in context of the problem&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}\">Write the conclusion of a chi-square test of independence in context of the problem<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Alcoholism Risk in 9\/11 Responders<\/h2>\r\n<p>Some firefighters and other first responders to the World Trade Center on September 11, 2001, have experienced symptoms of traumatic stress, depression, anxiety, and drinking problems. Cornell University researchers conducted a survey of a random sample of New York firefighters, some of whom had participated in the 9\/11 rescue efforts. The report\u2019s title is \u201cOn the Front Line: The Work of First Responders in a Post-9\/11 World.\u201d You can <a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/datasets\/FirefighterStress.pdf\" target=\"_blank\" rel=\"noopener\">see the full report here<\/a>.<\/p>\r\n<p>We use data from this report to investigate the question:\u00a0<em>Are alcohol-related problems among New York firefighters associated with participation in the 9\/11 rescue?<\/em><\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1 ]2891[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1 ]2892[\/ohm2_question]<\/section>\r\n<p>Here are the data from the report:<\/p>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<th>\u00a0<\/th>\r\n<th>No risk for alcohol problems<\/th>\r\n<th>Moderate to severe risk for alcohol problems<\/th>\r\n<th>Total<\/th>\r\n<\/tr>\r\n<tr>\r\n<th>Participated in 9\/11 rescue<\/th>\r\n<td>793<\/td>\r\n<td>309<\/td>\r\n<td>1102<\/td>\r\n<\/tr>\r\n<tr>\r\n<th>Did not participate in 9\/11 rescue<\/th>\r\n<td>441<\/td>\r\n<td>110<\/td>\r\n<td>551<\/td>\r\n<\/tr>\r\n<tr>\r\n<th>Total<\/th>\r\n<td>1234<\/td>\r\n<td>419<\/td>\r\n<td>1653<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>Let's use the statistical tool to conduct the Chi-Squared test of Independence.<br \/>\r\nRemember to select \"Contingency Table\" under Enter Data and input our values accordingly.<\/p>\r\n<section><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" width=\"100%\" height=\"1100\" frameborder=\"no\"><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/section>\r\n<section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1 ]2893[\/ohm2_question]<\/section>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1 ]2894[\/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 chi-square test of independence&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}\">Complete a chi-square test of independence<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write the conclusion of a chi-square test of independence in context of the problem&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}\">Write the conclusion of a chi-square test of independence in context of the problem<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Alcoholism Risk in 9\/11 Responders<\/h2>\n<p>Some firefighters and other first responders to the World Trade Center on September 11, 2001, have experienced symptoms of traumatic stress, depression, anxiety, and drinking problems. Cornell University researchers conducted a survey of a random sample of New York firefighters, some of whom had participated in the 9\/11 rescue efforts. The report\u2019s title is \u201cOn the Front Line: The Work of First Responders in a Post-9\/11 World.\u201d You can <a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/datasets\/FirefighterStress.pdf\" target=\"_blank\" rel=\"noopener\">see the full report here<\/a>.<\/p>\n<p>We use data from this report to investigate the question:\u00a0<em>Are alcohol-related problems among New York firefighters associated with participation in the 9\/11 rescue?<\/em><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2891\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2891&theme=lumen&iframe_resize_id=ohm2891&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2892\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2892&theme=lumen&iframe_resize_id=ohm2892&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Here are the data from the report:<\/p>\n<table>\n<tbody>\n<tr>\n<th>\u00a0<\/th>\n<th>No risk for alcohol problems<\/th>\n<th>Moderate to severe risk for alcohol problems<\/th>\n<th>Total<\/th>\n<\/tr>\n<tr>\n<th>Participated in 9\/11 rescue<\/th>\n<td>793<\/td>\n<td>309<\/td>\n<td>1102<\/td>\n<\/tr>\n<tr>\n<th>Did not participate in 9\/11 rescue<\/th>\n<td>441<\/td>\n<td>110<\/td>\n<td>551<\/td>\n<\/tr>\n<tr>\n<th>Total<\/th>\n<td>1234<\/td>\n<td>419<\/td>\n<td>1653<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Let&#8217;s use the statistical tool to conduct the Chi-Squared test of Independence.<br \/>\nRemember to select &#8220;Contingency Table&#8221; under Enter Data and input our values accordingly.<\/p>\n<section><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" width=\"100%\" height=\"1100\" frameborder=\"no\"><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/section>\n<section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2893\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2893&theme=lumen&iframe_resize_id=ohm2893&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2894\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2894&theme=lumen&iframe_resize_id=ohm2894&source=tnh\" width=\"100%\" height=\"150\"><\/iframe>\u00a0<\/section>\n","protected":false},"author":8,"menu_order":32,"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":"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\/1425"}],"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\/1425\/revisions"}],"predecessor-version":[{"id":6882,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1425\/revisions\/6882"}],"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\/1425\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1425"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1425"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1425"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}