Question

Suppose that 8% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is the probability of testing positive for the disease?

Answer 1

560

Explanation:

YIu multiply 70 times 8

Answer 2

33.2%

Explanation:

Suppose that 8% of the general population has a disease. (True positive)

So 92% of the general population has not a disease (false positive)

the test for the disease is accurate 70% of the time (true positive)

so test for the disease is not accurate 30% of the time (false positive)

Now we calculate the probability

8% × 70% + 92% × 30%

0.08 × 0.7 + 0.92 × 0.3 = 0.332 or 33.2%

The probability of testing positive for the disease is 33.2%