A test for marijuana usage was tried on 150 subjects who did not use marijuana.

Question

A test for marijuana usage was tried on 150 subjects who did not use marijuana. The test result was wrong 7 times. a. Based on the available results, find the probability of a wrong test result for a person who does not use marijuana. b. Is it "unlikely" for the test to be wrong for those not using marijuana? Consider an event to be unlikely if its probability is less than or equal to 0.05. a. The probability that the test will be wrong is approximately. (Type an integer or decimal rounded to three decimal places as needed.) b. Is it "unlikely" for the test to be wrong for those not using marijuana? Choose the correct answer below. Yes No

Explanation / Answer

a)

n = 150 who did not use marijiuana.

Result was wrong x = 7 times.

The probability that test will be wrong approximately = x / n = 7 / 150 = 0.047

b)

This probability is less than 0.05, So we can consider event to be unlikely.

So answer for b) is "Yes".

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