(c) Predictive value i. Find the positive predictive value for the test. That is, find the probability that a subject uses drugs, given that the test yields a positive result. ii. Find the negative predictive value for the test. That is, find the probability that a subject does not use drugs, given that the test yields a negative result.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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How can I obtain thr predictive values for the given chart for letter c) i and ii.? The question asks for the positive and negative predictive value.

2. Let's bring in some hypothetical data from a pre-employment drug screening.
Positive Test Result
(drug use is indicated)
44
(true positive)
Subject Uses Drugs
(false negative)
860
(false positive)
(true negative)
(a) False positive Find the probability of selecting a subject with a positive test
result, given that the subject does not use drugs.
Subject is Not a Drug User
Negative Test Result
(drug use is not indicated)
6
90
(b) False negative Find the probability of selecting a subject with a negative test
result, given that the subject uses drugs.
(c) Predictive value
i. Find the positive predictive value for the test. That is, find the probability
that a subject uses drugs, given that the test yields a positive result.
ii. Find the negative predictive value for the test. That is, find the probability
that a subject does not use drugs, given that the test yields a negative result.
Transcribed Image Text:2. Let's bring in some hypothetical data from a pre-employment drug screening. Positive Test Result (drug use is indicated) 44 (true positive) Subject Uses Drugs (false negative) 860 (false positive) (true negative) (a) False positive Find the probability of selecting a subject with a positive test result, given that the subject does not use drugs. Subject is Not a Drug User Negative Test Result (drug use is not indicated) 6 90 (b) False negative Find the probability of selecting a subject with a negative test result, given that the subject uses drugs. (c) Predictive value i. Find the positive predictive value for the test. That is, find the probability that a subject uses drugs, given that the test yields a positive result. ii. Find the negative predictive value for the test. That is, find the probability that a subject does not use drugs, given that the test yields a negative result.
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