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## A medical test has a 95% accuracy of detecting a Condition Z if the person has it. It also has a 97% chance to indicate that the person does

Question

A medical test has a 95% accuracy of detecting a Condition Z if the person has it. It also has a 97% chance to indicate that the person does not have the condition if they really don’t have it. If the incidence rate of this disease is 10 out of every 100: What is the probability that a person chosen at random will both test positive and actually have the disease (i.e., get a true positive)

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Mathematics
3 years
2021-08-26T10:56:03+00:00
2021-08-26T10:56:03+00:00 1 Answers
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## Answers ( )

Answer:

0.77Step-by-step explanation:According to the Question,

Let, We have 10000 patients & If the incidence rate is 10 out of 100, then 1000 people will have the disease.

So, Out of the 9000 people who don’t have the disease, 3%

that is, 270 People, will get a false positive.

Thus,

the probability that a person is chosen at random will both test positive and actually have the disease is.0.77