A polygraph (lie detector) is an instrument used to determine if the individual

Question

A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 96% reliable. In other words, if an individual lies, there is a 0.96 probability that the test will detect a lie. Let there also be a 0.065 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions.

Explanation / Answer

a. The probability of Type I error is given as

P(Rejecting a true null hypothesis) = 0.065

b. The probability of Type II error is given as

P(Failing to reject a false null hypothesis) = 1 - 0.96 = 0.04

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