{"id":4985,"date":"2022-08-17T17:17:49","date_gmt":"2022-08-17T17:17:49","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4985"},"modified":"2022-08-17T17:19:56","modified_gmt":"2022-08-17T17:19:56","slug":"7d-in-class-activity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/7d-in-class-activity\/","title":{"raw":"7D In-Class Activity","rendered":"7D In-Class Activity"},"content":{"raw":"Medical tests designed to detect diseases\u00a0 are not always perfect.\r\n\r\nSometimes, people who get tested may be\u00a0 told they have a disease when they do not actually have the disease.\r\n\r\nOther times, people who get tested may be told they are free of a disease when in fact\u00a0 they have the disease.\r\n\r\n\"\"\r\nCredit: iStock\/wildpixel\r\n\r\nThe goal is for medical tests to be correct as often as possible so that these types of\u00a0 errors are rare.\r\n
\r\n

Question 1<\/h3>\r\nIn your opinion, what is worse\u2014telling someone they have a disease when in fact\u00a0 they do not OR telling someone they do not have a disease when they actually do?\r\n\r\n<\/div>\r\nCOVID-19 Test Reliability\r\n
\r\n

Question 2<\/h3>\r\nA testing facility reports the following testing reliability results for their COVID-19\u00a0 test:\r\n
    \r\n \t
  • 80% of the people tested in the facility do not have COVID-19.<\/li>\r\n \t
  • 2.25% of people who do not have COVID-19 test positive for it.<\/li>\r\n \t
  • 80% of people who have COVID-19 test positive for it.<\/li>\r\n<\/ul>\r\nWe want to answer the following questions:\r\n
      \r\n \t
    • If someone tests positive for COVID-19, what is the probability they truly have it?<\/li>\r\n \t
    • If someone tests negative for COVID-19, what is the probability they truly do not\u00a0 have it?<\/li>\r\n<\/ul>\r\n
        \r\n \t
      1. Begin by labeling the highlighted rows and columns in the following table.\r\n
        \r\n\r\n\r\n\r\n\r\n\r\n\r\n
        <\/td>\r\nPositive test<\/td>\r\n<\/td>\r\nTotal<\/td>\r\n<\/tr>\r\n
        <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        Does not have\u00a0 COVID-19<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div><\/li>\r\n \t
      2. Complete the table (including row and column totals) based on the previous information and a hypothetical 1,000 people.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
        \r\n

        Question 3<\/h3>\r\nQuestion 2, Parts a and b will help you answer the following question: \u201cIf someone tests positive for COVID-19, what is the probability they truly have it?\u201d\r\n
          \r\n \t
        1. Write the desired probability in words by filling in the blanks:\u00a0 [latex] P(___________ GIVEN ___________) [\/latex]<\/li>\r\n \t
        2. Find the probability to the nearest ten-thousandth.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
          \r\n

          Question 4<\/h3>\r\nQuestion 2, Parts a and b will help you answer the following question: \u201cIf someone\u00a0 tests negative for COVID-19, what is the probability they truly do not have it?\u201d\r\n
            \r\n \t
          1. Write the desired probability in words by filling in the blanks:\u00a0 [latex] P(___________ GIVEN ___________) [\/latex]<\/li>\r\n \t
          2. Find the probability to the nearest ten-thousandth.<\/li>\r\n<\/ol>\r\n<\/div>\r\nA certain pregnancy test detects 90% of pregnancies. It gives a negative test result to\u00a0 99% of people who are not pregnant. A scientist decides to study pregnancy\u00a0 probabilities from this test. In her study, 30% of the study participants are truly pregnant.\r\n
            \r\n

            Question 5<\/h3>\r\nConstruct and complete a table using a hypothetical 1,000 people.\r\n\r\n<\/div>\r\n
            \r\n

            Question 6<\/h3>\r\nIf a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly pregnant?\r\n\r\n<\/div>\r\n
            \r\n

            Question 7<\/h3>\r\nIf a randomly selected study participant receives a negative test, what is the probability they are truly not pregnant?\r\n\r\n<\/div>\r\nA certain pregnancy test detects 90% of pregnancies. It gives a negative test result to\u00a0 99% of people who are not pregnant. A scientist decides to study pregnancy\u00a0 probabilities from this test. In her study, 80% of the study participants are truly pregnant.\r\n
            \r\n

            Question 8<\/h3>\r\nConstruct and complete a table using a hypothetical 1,000 people.\r\n\r\n<\/div>\r\n
            \r\n

            Question 9<\/h3>\r\nIf a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly pregnant?\r\n\r\n<\/div>\r\n
            \r\n

            Question 10<\/h3>\r\nIf a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly not pregnant?\r\n\r\n<\/div>\r\n
            \r\n

            Question 11<\/h3>\r\nCompare the probability from Question 7 against the probability from Question 10.\u00a0 Why do you think one is so much higher than the other?\r\n\r\n<\/div>\r\n \r\n\r\n ","rendered":"

            Medical tests designed to detect diseases\u00a0 are not always perfect.<\/p>\n

            Sometimes, people who get tested may be\u00a0 told they have a disease when they do not actually have the disease.<\/p>\n

            Other times, people who get tested may be told they are free of a disease when in fact\u00a0 they have the disease.<\/p>\n

            \"\"
            \nCredit: iStock\/wildpixel<\/p>\n

            The goal is for medical tests to be correct as often as possible so that these types of\u00a0 errors are rare.<\/p>\n

            \n

            Question 1<\/h3>\n

            In your opinion, what is worse\u2014telling someone they have a disease when in fact\u00a0 they do not OR telling someone they do not have a disease when they actually do?<\/p>\n<\/div>\n

            COVID-19 Test Reliability<\/p>\n

            \n

            Question 2<\/h3>\n

            A testing facility reports the following testing reliability results for their COVID-19\u00a0 test:<\/p>\n

              \n
            • 80% of the people tested in the facility do not have COVID-19.<\/li>\n
            • 2.25% of people who do not have COVID-19 test positive for it.<\/li>\n
            • 80% of people who have COVID-19 test positive for it.<\/li>\n<\/ul>\n

              We want to answer the following questions:<\/p>\n

                \n
              • If someone tests positive for COVID-19, what is the probability they truly have it?<\/li>\n
              • If someone tests negative for COVID-19, what is the probability they truly do not\u00a0 have it?<\/li>\n<\/ul>\n
                  \n
                1. Begin by labeling the highlighted rows and columns in the following table.\n
                  \n\n\n\n\n\n\n
                  <\/td>\nPositive test<\/td>\n<\/td>\nTotal<\/td>\n<\/tr>\n
                  <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                  Does not have\u00a0 COVID-19<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                  <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/li>\n
                2. Complete the table (including row and column totals) based on the previous information and a hypothetical 1,000 people.<\/li>\n<\/ol>\n<\/div>\n
                  \n

                  Question 3<\/h3>\n

                  Question 2, Parts a and b will help you answer the following question: \u201cIf someone tests positive for COVID-19, what is the probability they truly have it?\u201d<\/p>\n

                    \n
                  1. Write the desired probability in words by filling in the blanks:\u00a0 [latex]P(___________ GIVEN ___________)[\/latex]<\/li>\n
                  2. Find the probability to the nearest ten-thousandth.<\/li>\n<\/ol>\n<\/div>\n
                    \n

                    Question 4<\/h3>\n

                    Question 2, Parts a and b will help you answer the following question: \u201cIf someone\u00a0 tests negative for COVID-19, what is the probability they truly do not have it?\u201d<\/p>\n

                      \n
                    1. Write the desired probability in words by filling in the blanks:\u00a0 [latex]P(___________ GIVEN ___________)[\/latex]<\/li>\n
                    2. Find the probability to the nearest ten-thousandth.<\/li>\n<\/ol>\n<\/div>\n

                      A certain pregnancy test detects 90% of pregnancies. It gives a negative test result to\u00a0 99% of people who are not pregnant. A scientist decides to study pregnancy\u00a0 probabilities from this test. In her study, 30% of the study participants are truly pregnant.<\/p>\n

                      \n

                      Question 5<\/h3>\n

                      Construct and complete a table using a hypothetical 1,000 people.<\/p>\n<\/div>\n

                      \n

                      Question 6<\/h3>\n

                      If a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly pregnant?<\/p>\n<\/div>\n

                      \n

                      Question 7<\/h3>\n

                      If a randomly selected study participant receives a negative test, what is the probability they are truly not pregnant?<\/p>\n<\/div>\n

                      A certain pregnancy test detects 90% of pregnancies. It gives a negative test result to\u00a0 99% of people who are not pregnant. A scientist decides to study pregnancy\u00a0 probabilities from this test. In her study, 80% of the study participants are truly pregnant.<\/p>\n

                      \n

                      Question 8<\/h3>\n

                      Construct and complete a table using a hypothetical 1,000 people.<\/p>\n<\/div>\n

                      \n

                      Question 9<\/h3>\n

                      If a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly pregnant?<\/p>\n<\/div>\n

                      \n

                      Question 10<\/h3>\n

                      If a randomly selected study participant receives a positive test, what is the\u00a0 probability they are truly not pregnant?<\/p>\n<\/div>\n

                      \n

                      Question 11<\/h3>\n

                      Compare the probability from Question 7 against the probability from Question 10.\u00a0 Why do you think one is so much higher than the other?<\/p>\n<\/div>\n

                       <\/p>\n

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