Explanation Given Info: From the results of the "1-Panel-THC" test for Marijuana use, 143 subjects had positive test results, 3 subjects had false negative results (subject uses Marijuana, test does not show Marijuana use), 24 subjects had false positive results (subject does not uses Marijuana, test shows Marijuana use), and 157 subjects with negative results. Calculation: The subjects who result with true positive results, True positive results = [ Total positive test results − False positive test results ] = 143 − 24 = 119 The subjects who result with true negative results, True negative results = [ Total negative test results − False negative test results ] = 157 − 3 = 154 The results from the "1-Panel-THC" test for Marijuana use is shown in Table 1. Positive Test Result Negative Test Result Total Subject Used Marijuana True Positive 119 False Negative 3 122 Subject Did not Use Marijuana False Positive 24 True Negative 154 178 Total 143 157 300 Table 1 Let event A denote that the randomly selected subject tested positive and event B denote that the randomly selected subject did not use marijuana. The formula for probability of event A is, P ( A ) = Number of ways event A occurs Number of simple events Substitute 143 for ‘Number of ways of event A occurs’ and 300 for ‘Number of simple events’ P ( A ) = 143 300 = 0.4767 The formula for probability of event B is, P ( B ) = Number of ways event B occurs Number of simple events Substitute 178 for ‘Number of ways of event B occurs’ and 300 for ‘Number of simple events’ P ( B ) = 178 300 = 0

7th Edition

ISBN: 9780136921721

Author: Triola

Publisher: RENT PEARS

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Chapter 4.2, Problem 23BSC

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To find: The probability that a randomly selected subject tested positive or did not used marijuana.

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Chapter 4.2, Problem 22BSC

Chapter 4.2, Problem 24BSC

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