Suppose a certain drug test is 98.0% sensitive, that is, the test will correctly

Question

Suppose a certain drug test is 98.0% sensitive, that is, the test will correctly identify a drug user as testing positive 98.0% of the time, and 91.2% specific, that is, the test will correctly identify a non-user as testing negative 91.2% of the time.

Suppose a corporation decides to test its employees for drug use, and that only 8.4% of the employees actually use the drug.

Let D stand for being a drug user and N indicate being a non-user. Let ? be the event of a positive drug test and ? be the event of a negative drug test.

Find P(N). Round your answer to the nearest 0.01.

Explanation / Answer

Here,D = being a drug user and N =being a non-user

And P(D) = 0.084(Given)

So,P(N)=1-0.084 = 0.916

So, answer is 0.916

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