At a sexually transmitted disease (STD) clinic in Miami, Florida, patients were screened for hepatitis C using Centers for Disease Control and Prevention (CDC) screening criteria in the form of a questionnaire (Weisbord et al., 2003). The study concluded that the probability of having Hepatitis C is Pr{disease} = 0.047, the probability that the test comes up positive for those that have Hepatitis C (sensitivity) is 0.61 and the probability it comes up negative for those that do not have Hepatitis C (specificity) is 0.91.

What is the probability that the test comes up positive? (Do not round until the final answer. Round the final answer to 5 places after the decimal.)

What is the probability of a false negative? (Do not round until the final answer. Round the final answer to 5 places after the decimal.)

What is the probability of a false positive? (Do not round until your final answer. Round your final answer to 5 places after the decimal.)

Given that the test comes up positive, find the probability of having Hepatitis C. (Do not round until the final answer. Round the final answer 5 places after the decimal.)