Refer to the sample data for​ pre-employment drug screening shown below. If one of the subjects is randomly​ selected, what is the probability that the test result is a false​ positive? Who would suffer from a false positive​ result? Why? Pre-Employment Drug Screening Results Positive test resultNegative test result  Drug Use Is IndicatedDrug Use Is Not IndicatedSubject Uses Drugs373755Subject Is Not a Drug User17173232The probability of a false positive test result is?

Question
Asked Oct 16, 2019
Refer to the sample data for​ pre-employment drug screening shown below. If one of the subjects is randomly​ selected, what is the probability that the test result is a false​ positive? Who would suffer from a false positive​ result? Why?
 
Pre-Employment Drug Screening Results
 
Positive test result
Negative test result
 
 
Drug Use Is Indicated
Drug Use Is Not Indicated
Subject Uses Drugs
3737
55
Subject Is Not a Drug User
1717
3232
The probability of a false positive test result is?
check_circleExpert Solution
Step 1

The provided data can be summarized as:

Positive test result
Drug use is indicated
Negative test result
Drug use is not indicated
Total
Subject uses drugs
Subject is not a user drug
3737
3792
55
3232
1717
4949
Total
5454
3287
8741
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Image Transcriptionclose

Positive test result Drug use is indicated Negative test result Drug use is not indicated Total Subject uses drugs Subject is not a user drug 3737 3792 55 3232 1717 4949 Total 5454 3287 8741

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Step 2

The probability that the test result is a false po...

Number of non-drug users
whose test result is positive
P(Test result is a false positive)
Total number of subjects
1717
8741
=0.1964
help_outline

Image Transcriptionclose

Number of non-drug users whose test result is positive P(Test result is a false positive) Total number of subjects 1717 8741 =0.1964

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