A certain affects virus 0.2% of the population. A test used to detect the virus

Question

A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below. a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test) = % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = % Get help: Video

Explanation / Answer

P(infected | positive test) = 176/13150 = 1.34%

P(not infected | negative test) = 86826/86850 = 99.97%

Infected Not infected Total Positive test 176 12974 13150 Negative test 24 86826 86850 Total 200 99,800 100,000

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