Use these results from the \"1-Panel-THC\" test for marijuana use, which is prov

Question

Use these results from the "1-Panel-THC" test for marijuana use, which is provided by the company Drug Test Success: Among 150 subjects with positive test results, there are 27 false positive results; among 153 negative results, there are 2 false negative results. a. Use the information above to complete the table below. 3. Positive Test Result Negative Test Result Total Subject Uses Drugs Subject Does not use Drugs Total b. How many subjects are included in the study? c. How many of the subjects did not use marijuana? d. What is the probability that a randomly selected subject did not use marijuana?

Explanation / Answer

Among 150 positive test results, there are 27 false positives, which means there 150-27=123 true positives.

Among 153 negative test results, there are 2 false negatives, which means there 150-2=151 true negatives.

a)

The total number of subjects = 303 as indicated in the table.

b)

The number of subjects who did not use marijuana = 27 + 151 = 178

c)

Probability that a subject does not use marijuana = number of subjects who did not use marijuana / total subjects

Probability that a subject does not use marijuana = 178 / 303

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Positive test result Negative test result Total Subject uses drugs 123 2 125 Subject does not use drugs 27 151 178 Total 150 153 303

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