2) Suppose that there is a test for a viral infection that always is positive when the person has the infection. If a person does not have the infection, the test is negative 90% of the time.

Construct a two+way table for 10,000 individuals, assuming that 2% have the infection. Use your table to answer the following questions. Show enough work that you can retrace your thinking when asked.

If the test is negative, what is the probability that a person is not infected?

If the test is positive, what is the probability that a person has the infection?