Use the following results from a test for marijuana use, which is provided by a

Question

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 145 subjects with positive test results, there are 20 false positive results; among 159 negative results, there are 5 false negative results. If one of the test subjects is randomly selected, find the probability of a false positive or false negative. (Hint: Construct a table.) What does the result suggest about the test's accuracy? The probability of a false positive or false negative is (Round to three decimal places as needed.)

Explanation / Answer

Probability of False positive (Type-1 error) = 20/304 = 0.066

Probability of False negative (Type - 2 error) = 5/304 = 0.016

Test accuracy = 1 - 0.066 - 0.016 = 0.918

Test accuracy>90% which is excellent.

The probability of a false positive of false negative = 0.066 + 0.016 = 0.082

Probability True False Test predicting true 125 20 Test predicting False 5 154

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