{"id":5363,"date":"2022-08-19T22:43:04","date_gmt":"2022-08-19T22:43:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=5363"},"modified":"2022-08-19T22:43:04","modified_gmt":"2022-08-19T22:43:04","slug":"11d-in-class-activity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/11d-in-class-activity\/","title":{"raw":"11D In-Class Activity","rendered":"11D In-Class Activity"},"content":{"raw":"According to the U.S. Environmental Protection Agency (EPA), if more than 10% of\u00a0 homes in a city record over 15 parts per billion (ppb) of lead in their drinking water, the\u00a0 city exceeds Federal standards for lead in drinking water.\r\n\r\n<img class=\"alignnone size-medium wp-image-5364\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/19223828\/11D-InClass-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" \/>\r\n\r\nCredit: iStock\/kedsanee\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 1<\/h3>\r\nBased on your previous reading, why do you think the EPA monitors the amount of lead in drinking water?\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 2<\/h3>\r\nA 2015 Virginia Tech study reported that out of a sample of 252 homes in Flint,\u00a0 Michigan, 42 of them had over 15 ppb of lead in their drinking water.[footnote]<em>Lead testing results for water sampled by residents.<\/em> (2015, September). Flint Water Study Updates. http:\/\/flintwaterstudy.org\/information-for-flint-residents\/results-for-citizen-testing-for-lead-300-kits\/ [\/footnote] At the 1%\u00a0 significance level, do the data indicate that the city of Flint exceeded the EPA\u00a0 standard?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>Write the null hypothesis in symbols and in a complete sentence.<\/li>\r\n \t<li>Write the alternative hypothesis in symbols and in a complete sentence.<\/li>\r\n \t<li>Verify that the conditions for the one-sample z-test for proportions have been met.<\/li>\r\n \t<li>Go to the DCMP Inference for Population Proportion tool at\u00a0 https:\/\/dcmathpathways.shinyapps.io\/Inference_prop\/. Calculate the test statistic and P-value.<\/li>\r\n \t<li>Will the null hypothesis be rejected? Explain.<\/li>\r\n \t<li>At the 1% significance level, do the data indicate that the city of Flint exceeded the EPA standard? Write the conclusion in a sentence.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 3<\/h3>\r\nWhy do you think a 1% significance level is used here? Why not 10%? Or 5%?\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 4<\/h3>\r\nSuppose our sample resulted in a P-value of 0.023. Would it be okay to make a\u00a0 conclusion at the 5% significance level instead?\r\n\r\n<\/div>\r\n&nbsp;","rendered":"<p>According to the U.S. Environmental Protection Agency (EPA), if more than 10% of\u00a0 homes in a city record over 15 parts per billion (ppb) of lead in their drinking water, the\u00a0 city exceeds Federal standards for lead in drinking water.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-5364\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/19223828\/11D-InClass-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" \/><\/p>\n<p>Credit: iStock\/kedsanee<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Question 1<\/h3>\n<p>Based on your previous reading, why do you think the EPA monitors the amount of lead in drinking water?<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 2<\/h3>\n<p>A 2015 Virginia Tech study reported that out of a sample of 252 homes in Flint,\u00a0 Michigan, 42 of them had over 15 ppb of lead in their drinking water.<a class=\"footnote\" title=\"Lead testing results for water sampled by residents. (2015, September). Flint Water Study Updates. http:\/\/flintwaterstudy.org\/information-for-flint-residents\/results-for-citizen-testing-for-lead-300-kits\/\" id=\"return-footnote-5363-1\" href=\"#footnote-5363-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a> At the 1%\u00a0 significance level, do the data indicate that the city of Flint exceeded the EPA\u00a0 standard?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Write the null hypothesis in symbols and in a complete sentence.<\/li>\n<li>Write the alternative hypothesis in symbols and in a complete sentence.<\/li>\n<li>Verify that the conditions for the one-sample z-test for proportions have been met.<\/li>\n<li>Go to the DCMP Inference for Population Proportion tool at\u00a0 https:\/\/dcmathpathways.shinyapps.io\/Inference_prop\/. Calculate the test statistic and P-value.<\/li>\n<li>Will the null hypothesis be rejected? Explain.<\/li>\n<li>At the 1% significance level, do the data indicate that the city of Flint exceeded the EPA standard? Write the conclusion in a sentence.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 3<\/h3>\n<p>Why do you think a 1% significance level is used here? Why not 10%? Or 5%?<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 4<\/h3>\n<p>Suppose our sample resulted in a P-value of 0.023. Would it be okay to make a\u00a0 conclusion at the 5% significance level instead?<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-5363-1\"><em>Lead testing results for water sampled by residents.<\/em> (2015, September). Flint Water Study Updates. http:\/\/flintwaterstudy.org\/information-for-flint-residents\/results-for-citizen-testing-for-lead-300-kits\/  <a href=\"#return-footnote-5363-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":574340,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5363","chapter","type-chapter","status-publish","hentry"],"part":5305,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5363","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5363\/revisions"}],"predecessor-version":[{"id":5365,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5363\/revisions\/5365"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5305"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5363\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5363"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5363"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5363"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}