Question: Q2. (12 points) A test has been developed to screen for a certain disease. Let Disease status = {D, DC} Let Test Result = {+,

Q2. (12 points) A test has been developed to screen for a certain disease. Let Disease status = {D, DC} Let Test Result = {+, -} Sensitivity and specicity numbers of the test were given by the manufacturer. Among the D, probability that the test results in + for the disease is 0.8000. Among the DC , probability that the test results for the disease 0.8889. Prevalence of Disease is assumed to be 0.15 in a community. a. Among + test results for this disease in this community, what proportion of them truly have disease? (6 points) b. Among - test results for this disease in this community, what proportion of them truly do not have disease? (6 points)

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