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erica [24]
2 years ago
14

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all

cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713

0.0713 = 7.13% probability that the result is positive.

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