A drug test manufacturer is testing its newest recreational drug test. It tests
ID: 3141941 • Letter: A
Question
A drug test manufacturer is testing its newest recreational drug test. It tests a total of 500 students, 100 of whom use recreational drugs. The following table shows the results:
Use Drugs
Do Not Use Drugs
Total
Test is positive
90
50
140
Test is negative
10
350
360
Total
100
400
500
What is the relative frequency of a false negative result (the probability that an student using recreational drugs will test negative)? What is the relative frequency of a false positive result (the probability that an athlete not using recreational drugs will test positive)?
Use Drugs
Do Not Use Drugs
Total
Test is positive
90
50
140
Test is negative
10
350
360
Total
100
400
500
Explanation / Answer
Relative Frequency = favorable test result/Total test result
A.
total students who are using drugs = 100
Now student who are using drugs and will test negative = 10
RF = 10/100 = 1/10 = 0.1
B.
Total athlete who are not using drugs = 400
athlete who are not using drugs but will test positive = 50
RF = 50/400 = 1/8 = 0.125
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