{"id":5015,"date":"2022-08-17T18:14:55","date_gmt":"2022-08-17T18:14:55","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=5015"},"modified":"2022-08-17T18:14:55","modified_gmt":"2022-08-17T18:14:55","slug":"8b-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/8b-coreq\/","title":{"raw":"8B Coreq","rendered":"8B Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will need to make connections between frequency, relative frequency, and probability. You will also need to interpret tables and graphs in order to calculate probabilities.\r\nFrequency, Relative Frequency, and Probability\r\nIn the upcoming preview and in-class activity, we will be analyzing results from a national survey of college students.[footnote]American College Health Association-National College Health Assessment. (2020). Undergraduate student reference group data report, Fall 2019.<\/em> https:\/\/www.acha.org\/NCHA\/ACHA[\/footnote] In this survey, participants were asked a number of health-related questions, including some related to travel, exercise, sleep, and more. In this corequisite support activity, we will explore the frequency, relative frequency, and probability associated with responses from this survey.\r\n
\r\n

Question 1<\/h3>\r\nOne of the questions presented to the participating college students in the survey was, \u201cWithin the last 2 weeks, on how many days did you drive a car or other\u00a0 vehicle?\u201d\r\n\r\nThe table displays the frequency distribution associated with the students\u2019\u00a0 responses.\r\n\r\n\"\"\r\n
    \r\n \t
  1. According to the frequency distribution table, how many survey participants had driven a car or other vehicle on less than 5 days in the last two weeks?\r\nHint: Less than 5 days does not include \u20185 days\u2019 (i.e., Reponses < 5).<\/li>\r\n \t
  2. According to the frequency table, how many survey participants had driven a\u00a0 car or other vehicle at least 1 day in the last two weeks?\r\nHint: At least 1 day means 1 day or more (i.e., Responses \u2265 1 day).<\/li>\r\n<\/ol>\r\n<\/div>\r\n
    \r\n

    Question 2<\/h3>\r\nUse the frequency table from Question 1 to address the following questions.\r\n
      \r\n \t
    1. What proportion of the college students in the survey stated that they had not\u00a0 driven a car or other vehicle in the last two weeks? Put another way, what is\u00a0 the relative frequency associated with the response \u201c0 Days?\u201d<\/li>\r\n \t
    2. Calculate the proportion, or relative frequency, associated with the other\u00a0 responses to this survey question. Complete the following table. Round your\u00a0 answers to 4 decimal places.\r\n
      \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
      Response<\/td>\r\nFrequency<\/td>\r\nProportion \/ Relative Frequency<\/td>\r\n<\/tr>\r\n
      0 Days<\/td>\r\n157<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      1 to 4 Days<\/td>\r\n6,191<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      5 to 10 Days<\/td>\r\n6,819<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      11 to 14 Days<\/td>\r\n12,838<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      Total:<\/td>\r\n26,005<\/td>\r\n1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div><\/li>\r\n \t
    3. According to your table, what proportion of the survey participants stated\u00a0 they had driven a car or other vehicle on more than 4 days in the last two\u00a0 weeks?\r\n\r\nHint: More than 4 days does not include \u20184 days\u2019 (i.e., Reponses > 4).<\/li>\r\n \t
    4. Suppose you randomly selected an individual who completed this survey.\u00a0 What is the probability of selecting a survey participant who responded with \u201c1 to 4 days?\u201d<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
      \r\n

      Question 3<\/h3>\r\nAnother question presented to the students in the survey was, \u201cIn the last 7 days, on\u00a0 how many days did you do exercises to strengthen or tone your muscles? Examples\u00a0 include push-ups, sit-ups, or weightlifting\/training.\u201d\r\n\r\nThe frequency distribution associated with the student responses is presented in the\u00a0 bar graph below.\r\n\r\n\"\"\r\n
        \r\n \t
      1. According to the bar graph, how many college students in the survey\u00a0 answered this survey question? That is, what is the total number of\u00a0 responses?<\/li>\r\n \t
      2. What proportion of the students in the survey stated that they had exercised\u00a0 their muscles on at least 5 days in the last week?<\/li>\r\n \t
      3. Suppose you randomly selected a college student from those who\u00a0 participated in the survey. What is the probability that they did not exercise their muscles in the last week? That is, what is the probability of selecting a\u00a0 college student who responded \u201c0 days?\u201d<\/li>\r\n \t
      4. Suppose you randomly selected a college student from those who\u00a0 participated in this survey. Are you more likely to select a student who exercised their muscles on 2 days in the last week or a student who exercised their muscles on 3 days in the last week? Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\nPractice\r\n\r\nCollege students in this survey were asked, in the last 7 days, \u201chow many servings of\u00a0 fruit did you eat on average per day?\u201d\r\n\r\nThe bar graph below displays the frequency associated with the students\u2019 responses.\r\n\r\n\"\"\r\n
        \r\n

        Question 4<\/h3>\r\nUse the information in the bar graph to complete the table below.\r\n
        \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Servings per day<\/td>\r\nFrequency<\/td>\r\nProportion \/ Relative Frequency<\/td>\r\n<\/tr>\r\n
        0<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        1 to 2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        3 to 4<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        5 to 6<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        More than 6<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        Total:<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n \r\n
        \r\n

        Question 5<\/h3>\r\nHow many college students consumed at least 3 servings of fruit per day?\r\n\r\n<\/div>\r\n \r\n
        \r\n

        Question 6<\/h3>\r\nHow many college students consumed less than 5 servings of fruit per day?\r\n\r\n<\/div>\r\n \r\n
        \r\n

        Question 7<\/h3>\r\nIf you randomly selected a student who participated in this survey, what is the\u00a0 probability that they consumed 0 servings of fruit per day?\r\n\r\n<\/div>\r\n \r\n\r\n \r\n\r\n ","rendered":"

        In the next preview assignment and in the next class, you will need to make connections between frequency, relative frequency, and probability. You will also need to interpret tables and graphs in order to calculate probabilities.
        \nFrequency, Relative Frequency, and Probability
        \nIn the upcoming preview and in-class activity, we will be analyzing results from a national survey of college students.[1]<\/sup><\/a> In this survey, participants were asked a number of health-related questions, including some related to travel, exercise, sleep, and more. In this corequisite support activity, we will explore the frequency, relative frequency, and probability associated with responses from this survey.<\/p>\n

        \n

        Question 1<\/h3>\n

        One of the questions presented to the participating college students in the survey was, \u201cWithin the last 2 weeks, on how many days did you drive a car or other\u00a0 vehicle?\u201d<\/p>\n

        The table displays the frequency distribution associated with the students\u2019\u00a0 responses.<\/p>\n

        \"\"<\/p>\n

          \n
        1. According to the frequency distribution table, how many survey participants had driven a car or other vehicle on less than 5 days in the last two weeks?
          \nHint: Less than 5 days does not include \u20185 days\u2019 (i.e., Reponses < 5).<\/li>\n
        2. According to the frequency table, how many survey participants had driven a\u00a0 car or other vehicle at least 1 day in the last two weeks?
          \nHint: At least 1 day means 1 day or more (i.e., Responses \u2265 1 day).<\/li>\n<\/ol>\n<\/div>\n
          \n

          Question 2<\/h3>\n

          Use the frequency table from Question 1 to address the following questions.<\/p>\n

            \n
          1. What proportion of the college students in the survey stated that they had not\u00a0 driven a car or other vehicle in the last two weeks? Put another way, what is\u00a0 the relative frequency associated with the response \u201c0 Days?\u201d<\/li>\n
          2. Calculate the proportion, or relative frequency, associated with the other\u00a0 responses to this survey question. Complete the following table. Round your\u00a0 answers to 4 decimal places.\n
            \n\n\n\n\n\n\n\n\n
            Response<\/td>\nFrequency<\/td>\nProportion \/ Relative Frequency<\/td>\n<\/tr>\n
            0 Days<\/td>\n157<\/td>\n<\/td>\n<\/tr>\n
            1 to 4 Days<\/td>\n6,191<\/td>\n<\/td>\n<\/tr>\n
            5 to 10 Days<\/td>\n6,819<\/td>\n<\/td>\n<\/tr>\n
            11 to 14 Days<\/td>\n12,838<\/td>\n<\/td>\n<\/tr>\n
            Total:<\/td>\n26,005<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/li>\n
          3. According to your table, what proportion of the survey participants stated\u00a0 they had driven a car or other vehicle on more than 4 days in the last two\u00a0 weeks?\n

            Hint: More than 4 days does not include \u20184 days\u2019 (i.e., Reponses > 4).<\/li>\n

          4. Suppose you randomly selected an individual who completed this survey.\u00a0 What is the probability of selecting a survey participant who responded with \u201c1 to 4 days?\u201d<\/li>\n<\/ol>\n<\/div>\n

             <\/p>\n

            \n

            Question 3<\/h3>\n

            Another question presented to the students in the survey was, \u201cIn the last 7 days, on\u00a0 how many days did you do exercises to strengthen or tone your muscles? Examples\u00a0 include push-ups, sit-ups, or weightlifting\/training.\u201d<\/p>\n

            The frequency distribution associated with the student responses is presented in the\u00a0 bar graph below.<\/p>\n

            \"\"<\/p>\n

              \n
            1. According to the bar graph, how many college students in the survey\u00a0 answered this survey question? That is, what is the total number of\u00a0 responses?<\/li>\n
            2. What proportion of the students in the survey stated that they had exercised\u00a0 their muscles on at least 5 days in the last week?<\/li>\n
            3. Suppose you randomly selected a college student from those who\u00a0 participated in the survey. What is the probability that they did not exercise their muscles in the last week? That is, what is the probability of selecting a\u00a0 college student who responded \u201c0 days?\u201d<\/li>\n
            4. Suppose you randomly selected a college student from those who\u00a0 participated in this survey. Are you more likely to select a student who exercised their muscles on 2 days in the last week or a student who exercised their muscles on 3 days in the last week? Explain.<\/li>\n<\/ol>\n<\/div>\n

              Practice<\/p>\n

              College students in this survey were asked, in the last 7 days, \u201chow many servings of\u00a0 fruit did you eat on average per day?\u201d<\/p>\n

              The bar graph below displays the frequency associated with the students\u2019 responses.<\/p>\n

              \"\"<\/p>\n

              \n

              Question 4<\/h3>\n

              Use the information in the bar graph to complete the table below.<\/p>\n

              \n\n\n\n\n\n\n\n\n\n
              Servings per day<\/td>\nFrequency<\/td>\nProportion \/ Relative Frequency<\/td>\n<\/tr>\n
              0<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
              1 to 2<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
              3 to 4<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
              5 to 6<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
              More than 6<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
              Total:<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

               <\/p>\n

              \n

              Question 5<\/h3>\n

              How many college students consumed at least 3 servings of fruit per day?<\/p>\n<\/div>\n

               <\/p>\n

              \n

              Question 6<\/h3>\n

              How many college students consumed less than 5 servings of fruit per day?<\/p>\n<\/div>\n

               <\/p>\n

              \n

              Question 7<\/h3>\n

              If you randomly selected a student who participated in this survey, what is the\u00a0 probability that they consumed 0 servings of fruit per day?<\/p>\n<\/div>\n

               <\/p>\n

               <\/p>\n

               <\/p>\n

              1. American College Health Association-National College Health Assessment. (2020). Undergraduate student reference group data report, Fall 2019.<\/em> https:\/\/www.acha.org\/NCHA\/ACHA ↵<\/a><\/li><\/ol><\/div>","protected":false},"author":574340,"menu_order":4,"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-5015","chapter","type-chapter","status-publish","hentry"],"part":4997,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5015","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\/5015\/revisions"}],"predecessor-version":[{"id":5019,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5015\/revisions\/5019"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/4997"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5015\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5015"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5015"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5015"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5015"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}