Testing for diseases is a difficult task and not one that can be done perfectly.

ID: 3262273 • Letter: T

Question

Testing for diseases is a difficult task and not one that can be done perfectly. One test for

tuberculosis gives the patient a small injection and checks for specific signs a few days later. This test is

able to correctly identify someone who has TB 93% of the time, but will unfortunately also incorrectly

identify healthy people as having TB 16% of the time. Assume that the rate of incidence of TB in

patients being tested is 0.5%, or 0.005.

Question: What is the probability that a healthy patient receives a positive test result?

Please explain step by step and thought process. I'm new to stats

It is given in the problem that the test identify healthy people as having TB 16% of the time.

Thus, the probability that a healthy patient receives a positive test result is 0.16.

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