Question

Suppose that the reliability of a test for the detection of a disease such as hepatitis is as follows: of those having hepatitis, 90% were detected by the test but 10% go undetected. Further, among those free of hepatitis, 99% are detected free of the disease by the test but 1% are diagnosed as having the hepatitis by the test. Suppose the probability for a person to contract hepatitis is 0.001. If a person chosen random is diagnosed as having hepatitis by the test, what is the probability that person is in fact contracted with the hepatitis?

Answer 1

Explanation:

Medical staff members at substance abuse treatment programs might assume the primary role for screening individuals for hepatitis and explaining the screening process and test results. Opioid treatment programs with medical staff members should screen for hepatitis B and C at intake and periodically as indicated. In programs without onsite medical staff, clients may be referred elsewhere for screening with minimal (if any) involvement of the substance abuse treatment program.