## Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if she or he is

Question

Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if she or he isn’t a user, it’s negative 85% of the time. Assume that 5% of all people are drug users.
What is the sensitivity of this test?

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6 months 2021-08-08T23:47:28+00:00 1 Answers 4 views 0

29.411 %  of the result is true.

Step-by-step explanation:

This test’s sensitivity is low.

Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.

But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.

And 85 % accuracy would give  95* 0.85= 80.75 which is very high.

And out of the 80.75 * 15%= 12.11 only 12 are positive .

The results give us  5 out of 17  true possibilities

or 5/17 *100= 29.411 %  of the result is true.