Question: Suppose a drug test is 90% sensitive and 85% specific. That is, the test will produce 90% true positive results for drug users and 85%

Suppose a drug test is 90% sensitive and 85% specific. That is, the test will produce 90% true positive results for drug users and 85% true negative results for non-drug users. Suppose that 3.7% of people are users of the drug. If a randomly selected individual tests positive, what is the probability he or she is a user?

Bayes Theorem

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The partnership of Larson, Norris, Spencer, and Harrison has decided to terminate operations and liquidate all business property. During this process, the partners expect to incur $8,000 in...

Suppose a drug test is 82% sensitive and 87% specific. That is, the test will produce 82% true positive results for drug users and 87% true negative results for non-drug users. Suppose that 4.8% of...

Suppose a drug test is 80% sensitive and 92% specific. That is, the test will produce 80% true positive results for drug users and 92% true negative results for non-drug users. Suppose that 4.1% of...

Suppose a drug test is 99% sensitive and 99% specific. That is, the test will produce 99% true positive results for drug users and 99% true negative results for non-drug users. Suppose that 0.5% of...

Suppose a drug test is 94% sensitive and 86% specific. That is, the test will produce 94% true positive results for drug users and 86% true negative results for non-drug users. Suppose that 1.4% of...

1. Suppose a COVID test is 96% sensitive and 95% specific. That is, the test will produce 96% true positive results for those with COVID and 95% true negative results for those without COVID. Suppose...

9. (Bayes rate) Suppose a drug test is 99% sensitive and 99% specic. That is, the test will produce 99% true positive results for drug users and 99% true negative results for nonidrug users: P(Test =...

Suppose a steroid test is 92% sensitive and 90% specific. That is, the test will produce 92% true positive results for steroid users and 90% true negative results for non-steroid users. Suppose that...

Suppose a lung cancer test is 84% sensitive and 85% specific. That is, the test will produce 84% true positive results for those with lung cancer and 85% true negative results for those without lung...

Suppose a COVID-19 is 90% sensitive and 84% specific. That is, the test will produce 90% true positive results for those that have the virus and 84% true negative results for those who do not....

Suppose a COVID-19 is 90% sensitive and 92% specific. That is, the test will produce 90% true positive results for those that have the virus and 92% true negative results for those who do not....

WHAT IF THE FACTS WERE DIFFERENT? Suppose that Henderson had fully disclosed the fact of his agency relationship and the identity of his principal. Would the result have been different? Why or why...

Find the following functions 3 1 x-7 and g(x) = +7. Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = Let f(z):

CAPM and Valuation You are considering acquiring a firm that you believe can generate expected free cash flows of 1 0 0 0 0 a year forever However you recognize that those cash flows are uncertain LO...

Vertical analysis Two income statements for Cornea Company follow: Cornea Company Income Statements For the Years Ended December 31 2049 2018 Fees earned Expenses $1,620,000 (858,600) $761,400...