Question

Suppose that 7% 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: 0.328

Step-by-step explanation:

Given: The percent of general population has a disease = 7%

⇒ The percent of general population  has no disease = $100\%-7\%=93\%$

Also, The test for the disease is accurate 70% of the time.

Probability that test is accurate = 0.7

⇒ The test for the disease is not accurate 30% of the time.

Probability that test is not accurate = 0.3

Now, the probability of testing positive for the disease is given by :-

$0.07\times0.7+0.93\times0.3=0.328$

Answer 2

You have a 4.9 percent chance of testing positive. Hope this helped!