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 94% reliable. In other words, if an individual lies, there is a 0.94 probability that the test will detect a lie. Let there also be a 0.006 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

Here type 1 error is when the individual tells the truth but is detected as false.

Hence the required probability is : 0.006

Here type 2 erroe is when the individual tells false but is detected as truth. Hence required probability is 1-0.94=0.06

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