{"id":2665,"date":"2022-04-04T22:19:46","date_gmt":"2022-04-04T22:19:46","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/?post_type=chapter&#038;p=2665"},"modified":"2022-04-04T22:19:46","modified_gmt":"2022-04-04T22:19:46","slug":"module-11-assignment-test-of-independence-using-technology","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/chapter\/module-11-assignment-test-of-independence-using-technology\/","title":{"raw":"Module 11 Assignment: Test of Independence Using Technology","rendered":"Module 11 Assignment: Test of Independence Using Technology"},"content":{"raw":"The purpose of this activity is to gain experience conducting a chi-square test of independence using technology.\r\n\r\nRecall the report On the Front Line:\u00a0<em>The Work of First Responders in a Post-9\/11 World<\/em>. We will use data from this report to investigate the question: Are alcohol-related problems among New York firefighters associated with participation in the 9\/11 rescue?\r\n\r\nHere again are our observed data:\r\n<table>\r\n<tbody>\r\n<tr>\r\n<th><\/th>\r\n<th>No risk for alcohol problems<\/th>\r\n<th>Moderate to severe risk for alcohol problems<\/th>\r\n<th><\/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><\/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<h2>Question 1:<\/h2>\r\nState the appropriate hypotheses for the chi-square test for independence in this case.\r\n\r\nNow you will check whether the conditions for the chi-square test are met. In order to do this, you\u2019ll need to first launch the actual\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/datasets\/FirefighterStress.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">research report<\/a>\u00a0and read the last paragraph on page iii of the introduction (starting with the \u201cThe study was fully funded\u2026\u201d)\r\n<h2>Instructions<\/h2>\r\nClick on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_r0.html\" target=\"_blank\" rel=\"noopener\">R\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_statcrunch0.html\" target=\"_blank\" rel=\"noopener\">StatCrunch\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_minitab0.html\" target=\"_blank\" rel=\"noopener\">Minitab\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_excel0.html\" target=\"_blank\" rel=\"noopener\">Excel\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_ti0.html\" target=\"_blank\" rel=\"noopener\">TI Calculator<\/a>\r\n<h2>Question 2:<\/h2>\r\nDoes the data meet the conditions for the chi-square test?\r\n<h2>Instructions<\/h2>\r\nClick on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_r1.html\" target=\"_blank\" rel=\"noopener\">R\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_statcrunch1.html\" target=\"_blank\" rel=\"noopener\">StatCrunch\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_minitab1.html\" target=\"_blank\" rel=\"noopener\">Minitab\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_excel1.html\" target=\"_blank\" rel=\"noopener\">Excel\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_ti1.html\" target=\"_blank\" rel=\"noopener\">TI Calculator<\/a>\r\n<h2>Question 3:<\/h2>\r\nState your conclusion in context. Also explain what the P-value means as a conditional probability based on the null hypothesis.","rendered":"<p>The purpose of this activity is to gain experience conducting a chi-square test of independence using technology.<\/p>\n<p>Recall the report On the Front Line:\u00a0<em>The Work of First Responders in a Post-9\/11 World<\/em>. We will use data from this report to investigate the question: Are alcohol-related problems among New York firefighters associated with participation in the 9\/11 rescue?<\/p>\n<p>Here again are our observed data:<\/p>\n<table>\n<tbody>\n<tr>\n<th><\/th>\n<th>No risk for alcohol problems<\/th>\n<th>Moderate to severe risk for alcohol problems<\/th>\n<th><\/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><\/th>\n<td>1234<\/td>\n<td>419<\/td>\n<td>1653<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Question 1:<\/h2>\n<p>State the appropriate hypotheses for the chi-square test for independence in this case.<\/p>\n<p>Now you will check whether the conditions for the chi-square test are met. In order to do this, you\u2019ll need to first launch the actual\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/datasets\/FirefighterStress.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">research report<\/a>\u00a0and read the last paragraph on page iii of the introduction (starting with the \u201cThe study was fully funded\u2026\u201d)<\/p>\n<h2>Instructions<\/h2>\n<p>Click on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_r0.html\" target=\"_blank\" rel=\"noopener\">R\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_statcrunch0.html\" target=\"_blank\" rel=\"noopener\">StatCrunch\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_minitab0.html\" target=\"_blank\" rel=\"noopener\">Minitab\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_excel0.html\" target=\"_blank\" rel=\"noopener\">Excel\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_ti0.html\" target=\"_blank\" rel=\"noopener\">TI Calculator<\/a><\/p>\n<h2>Question 2:<\/h2>\n<p>Does the data meet the conditions for the chi-square test?<\/p>\n<h2>Instructions<\/h2>\n<p>Click on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_r1.html\" target=\"_blank\" rel=\"noopener\">R\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_statcrunch1.html\" target=\"_blank\" rel=\"noopener\">StatCrunch\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_minitab1.html\" target=\"_blank\" rel=\"noopener\">Minitab\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_excel1.html\" target=\"_blank\" rel=\"noopener\">Excel\u00a0<\/a>|\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Concepts+in+Statistics\/assignments\/_u5_m2_lbd9\/_u5_m2_lbd9_ti1.html\" target=\"_blank\" rel=\"noopener\">TI Calculator<\/a><\/p>\n<h2>Question 3:<\/h2>\n<p>State your conclusion in context. Also explain what the P-value means as a conditional probability based on the null hypothesis.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2665\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Concepts in Statistics. <strong>Provided by<\/strong>: Open Learning Initiative. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/oli.cmu.edu\/\">http:\/\/oli.cmu.edu\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":428269,"menu_order":18,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Concepts in Statistics\",\"author\":\"\",\"organization\":\"Open Learning Initiative\",\"url\":\"http:\/\/oli.cmu.edu\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2665","chapter","type-chapter","status-web-only","hentry"],"part":2599,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapters\/2665","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/wp\/v2\/users\/428269"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapters\/2665\/revisions"}],"predecessor-version":[{"id":2666,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapters\/2665\/revisions\/2666"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/parts\/2599"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapters\/2665\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/wp\/v2\/media?parent=2665"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/pressbooks\/v2\/chapter-type?post=2665"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/wp\/v2\/contributor?post=2665"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-concepts-statistics\/wp-json\/wp\/v2\/license?post=2665"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}