## The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person

Question

The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.99. If a person does not have the disease, the probability that the test will produce a positive signal is 0.01.

If a person tests positive, what is the probability that the person actually has the disease?

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2021-12-29T07:44:17+00:00
2021-12-29T07:44:17+00:00 1 Answer
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## Answers ( )

Answer:0.3322 or 33.22%

Step-by-step explanation:The probability that the person has the disease, P(D), is 0.005

The probability that a person tests positive P(+) is:

Given that the test is positive, the probability that the person actually has the disease is determined by:The probability is 0.3322 or 33.22%.