{"id":5179,"date":"2022-08-18T19:12:05","date_gmt":"2022-08-18T19:12:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=5179"},"modified":"2022-08-18T19:12:06","modified_gmt":"2022-08-18T19:12:06","slug":"9a-in-class-activity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/9a-in-class-activity\/","title":{"raw":"9A In-Class Activity","rendered":"9A In-Class Activity"},"content":{"raw":"<div class=\"textbox key-takeaways\">\r\n<h3>Question 1<\/h3>\r\nThink about driving in the United States. What data would you collect to answer the question \u201cWhich state has\u00a0\u00a0the worst drivers?\u201d\r\n<img class=\"alignnone  wp-image-5180\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18185949\/9A-InClass-1.png\" alt=\"\" width=\"353\" height=\"235\" \/>\r\n\r\nCredit: iStock\/PeopleImages\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 2<\/h3>\r\nSuppose the nationwide proportion of fatal accidents that involve alcohol is 0.30.\r\n<ol>\r\n \t<li>What type of value, a parameter or a statistic, is the proportion of fatal accidents that were alcohol related?<\/li>\r\n \t<li>Based on guidance from your instructor, select your own sample of size 10 [latex] (n = 10) [\/latex] from the nationwide population of fatal accidents. Record the proportion of fatal accidents that were alcohol related in your sample.<\/li>\r\n \t<li>\u00a0Plot the proportion from Part B on the class dotplot, and make sure to sketch the final class dotplot in your notebook.<\/li>\r\n \t<li>Describe the center, shape, and spread of the dotplot. Label the true\u00a0 population proportion.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 3<\/h3>\r\nIn 2012, 38% of all fatal accidents in Texas were alcohol related, which is tied for 5th highest among the 50 states and DC.[footnote]Chalabi, M. (2014, October 24). <em>Dear Mona, which state has the worst drivers?<\/em> FiveThirtyEight. https:\/\/fivethirtyeight.com\/features\/which-state-has-the-worst-drivers\/[\/footnote] Suppose researchers wanted to analyze the\u00a0 impact of a new alcohol awareness program on the number of alcohol-related fatal\u00a0 accidents, so they recorded whether or not alcohol was involved in a random sample of 50 fatal accidents in Texas.\r\n<ol>\r\n \t<li>Are the data recorded on whether or not alcohol was involved from a sample of fatal accidents in Texas or from the population of all fatal accidents in\u00a0 Texas?<\/li>\r\n \t<li>\u00a0In this scenario, what type of value, a parameter or a statistic, is the proportion of fatal accidents that were alcohol related?<\/li>\r\n \t<li>What type of value is the proportion of all Texas drivers who have been\u00a0 involved in fatal collisions and were alcohol-impaired?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 4<\/h3>\r\nLet\u2019s sample from all fatal accidents using technology. Suppose that the proportion\u00a0 of all fatal accidents in Texas has not changed since 2012.\r\n<ol>\r\n \t<li>What is the value of the population proportion?<\/li>\r\n \t<li>Go to the DCMP Sampling Distribution of the Sample Proportion tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/SampDist_prop\/\">https:\/\/dcmathpathways.shinyapps.io\/SampDist_prop\/<\/a> and draw one sample of sample size [latex] n = 50 [\/latex] using these inputs:\r\n<ul>\r\n \t<li aria-level=\"1\">Select the box titled \u201cEnter Numerical Values for n and p.\u201d<\/li>\r\n \t<li aria-level=\"1\">Enter the value for\u00a0[latex] p [\/latex] from Part a and [latex] n = 50 [\/latex].<\/li>\r\n \t<li aria-level=\"1\">Select how many samples (of size 50) you want to simulate drawing from the population.<\/li>\r\n \t<li aria-level=\"1\">Select \u201cDraw Sample(s).\u201d<\/li>\r\n \t<li aria-level=\"1\">Note: The sample proportion, [latex] p [\/latex], will be displayed in the graph labeled \u201cData Distribution (Bar Graph from last generated sample).\u201d<\/li>\r\n<\/ul>\r\nWhat is the sample proportion, [latex] \\hat{p} [\/latex], that you got for your sample?<\/li>\r\n \t<li>If you draw another sample of sample size [latex] n = 50 [\/latex]., do you think the sample proportion, [latex] \\hat{p} [\/latex], will change? Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 5<\/h3>\r\nNow draw 100 samples of sample size [latex] n = 50 [\/latex].\r\n<ol>\r\n \t<li>If you were to create a dotplot for the generated samples, similar to Question 2, Part c, how many \u201cdots\u201d would be on the plot?<\/li>\r\n \t<li>What is the last sample proportion, [latex] \\hat{p} [\/latex], for [latex] n = 50 [\/latex] that was drawn?<\/li>\r\n \t<li>The graph at the bottom of the tool represents the approximate sampling distribution. What is the mean of the approximate sampling distribution for the sample proportion?<\/li>\r\n \t<li>Compare the mean from the sampling distribution to the proportion from the population distribution.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 6<\/h3>\r\nSuppose the researchers found that 18 of the 50 fatal accidents sampled were alcohol related.\r\n<ol>\r\n \t<li>What is the sample proportion collected by the researchers? Use proper notation.<\/li>\r\n \t<li>Suppose the news reported the following headline after seeing the results of the study:\r\n\r\n\u201cThe alcohol awareness program has successfully decreased the alcohol-related accidents from 38% to 36%. Thus, we should increase the funding substantially to continue to fund this successful program.\u201d\r\n\r\nShould the news have been so confident in their reporting? Explain.<\/li>\r\n<\/ol>\r\n<\/div>","rendered":"<div class=\"textbox key-takeaways\">\n<h3>Question 1<\/h3>\n<p>Think about driving in the United States. What data would you collect to answer the question \u201cWhich state has\u00a0\u00a0the worst drivers?\u201d<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-5180\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18185949\/9A-InClass-1.png\" alt=\"\" width=\"353\" height=\"235\" \/><\/p>\n<p>Credit: iStock\/PeopleImages<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 2<\/h3>\n<p>Suppose the nationwide proportion of fatal accidents that involve alcohol is 0.30.<\/p>\n<ol>\n<li>What type of value, a parameter or a statistic, is the proportion of fatal accidents that were alcohol related?<\/li>\n<li>Based on guidance from your instructor, select your own sample of size 10 [latex](n = 10)[\/latex] from the nationwide population of fatal accidents. Record the proportion of fatal accidents that were alcohol related in your sample.<\/li>\n<li>\u00a0Plot the proportion from Part B on the class dotplot, and make sure to sketch the final class dotplot in your notebook.<\/li>\n<li>Describe the center, shape, and spread of the dotplot. Label the true\u00a0 population proportion.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 3<\/h3>\n<p>In 2012, 38% of all fatal accidents in Texas were alcohol related, which is tied for 5th highest among the 50 states and DC.<a class=\"footnote\" title=\"Chalabi, M. (2014, October 24). Dear Mona, which state has the worst drivers? FiveThirtyEight. https:\/\/fivethirtyeight.com\/features\/which-state-has-the-worst-drivers\/\" id=\"return-footnote-5179-1\" href=\"#footnote-5179-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a> Suppose researchers wanted to analyze the\u00a0 impact of a new alcohol awareness program on the number of alcohol-related fatal\u00a0 accidents, so they recorded whether or not alcohol was involved in a random sample of 50 fatal accidents in Texas.<\/p>\n<ol>\n<li>Are the data recorded on whether or not alcohol was involved from a sample of fatal accidents in Texas or from the population of all fatal accidents in\u00a0 Texas?<\/li>\n<li>\u00a0In this scenario, what type of value, a parameter or a statistic, is the proportion of fatal accidents that were alcohol related?<\/li>\n<li>What type of value is the proportion of all Texas drivers who have been\u00a0 involved in fatal collisions and were alcohol-impaired?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 4<\/h3>\n<p>Let\u2019s sample from all fatal accidents using technology. Suppose that the proportion\u00a0 of all fatal accidents in Texas has not changed since 2012.<\/p>\n<ol>\n<li>What is the value of the population proportion?<\/li>\n<li>Go to the DCMP Sampling Distribution of the Sample Proportion tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/SampDist_prop\/\">https:\/\/dcmathpathways.shinyapps.io\/SampDist_prop\/<\/a> and draw one sample of sample size [latex]n = 50[\/latex] using these inputs:\n<ul>\n<li aria-level=\"1\">Select the box titled \u201cEnter Numerical Values for n and p.\u201d<\/li>\n<li aria-level=\"1\">Enter the value for\u00a0[latex]p[\/latex] from Part a and [latex]n = 50[\/latex].<\/li>\n<li aria-level=\"1\">Select how many samples (of size 50) you want to simulate drawing from the population.<\/li>\n<li aria-level=\"1\">Select \u201cDraw Sample(s).\u201d<\/li>\n<li aria-level=\"1\">Note: The sample proportion, [latex]p[\/latex], will be displayed in the graph labeled \u201cData Distribution (Bar Graph from last generated sample).\u201d<\/li>\n<\/ul>\n<p>What is the sample proportion, [latex]\\hat{p}[\/latex], that you got for your sample?<\/li>\n<li>If you draw another sample of sample size [latex]n = 50[\/latex]., do you think the sample proportion, [latex]\\hat{p}[\/latex], will change? Explain.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 5<\/h3>\n<p>Now draw 100 samples of sample size [latex]n = 50[\/latex].<\/p>\n<ol>\n<li>If you were to create a dotplot for the generated samples, similar to Question 2, Part c, how many \u201cdots\u201d would be on the plot?<\/li>\n<li>What is the last sample proportion, [latex]\\hat{p}[\/latex], for [latex]n = 50[\/latex] that was drawn?<\/li>\n<li>The graph at the bottom of the tool represents the approximate sampling distribution. What is the mean of the approximate sampling distribution for the sample proportion?<\/li>\n<li>Compare the mean from the sampling distribution to the proportion from the population distribution.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 6<\/h3>\n<p>Suppose the researchers found that 18 of the 50 fatal accidents sampled were alcohol related.<\/p>\n<ol>\n<li>What is the sample proportion collected by the researchers? Use proper notation.<\/li>\n<li>Suppose the news reported the following headline after seeing the results of the study:\n<p>\u201cThe alcohol awareness program has successfully decreased the alcohol-related accidents from 38% to 36%. Thus, we should increase the funding substantially to continue to fund this successful program.\u201d<\/p>\n<p>Should the news have been so confident in their reporting? Explain.<\/li>\n<\/ol>\n<\/div>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-5179-1\">Chalabi, M. (2014, October 24). <em>Dear Mona, which state has the worst drivers?<\/em> FiveThirtyEight. https:\/\/fivethirtyeight.com\/features\/which-state-has-the-worst-drivers\/ <a href=\"#return-footnote-5179-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":574340,"menu_order":2,"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-5179","chapter","type-chapter","status-publish","hentry"],"part":5175,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5179","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\/5179\/revisions"}],"predecessor-version":[{"id":5181,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5179\/revisions\/5181"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5175"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5179\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5179"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5179"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5179"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}