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

Answer:

560

Step-by-step explanation:

YIu multiply 70 times 8

Answer 2

Answer:

33.2%

Step-by-step 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%