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 82% reliable. In other words, if an individual lies, there is a 0.82 probability that the test will detect a lie. Let there also be a 0.010 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. What is the probability of Type I error? (Round your answer to 3 decimal places.) Probability ________ What is the probability of Type II error? (Round your answer to 2 decimal places.) Probability _______

Explanation / Answer

a. When Null hypothesis is true but rejected. that means individual is telling the truth but detected a lie

so Probabilility of type I error = 0.010

b. Type II error occurs when null hypothesis is false, but failed to get rejected. That means individual is telling a lie but lie is failed to be detected.

so Probabilility of type II error = 1- 0.82 = 0.18

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