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?

Answer 1

29.411 % of the result is true.

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.