A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a 0.95 probability that the test will detect a lie. Let there also be a 0.025 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. a. What is the probability of a Type I error? (Round your answer to 3 decimal places.) Probability b. What is the probability of a Type II error? (Round your answer to 2 decimal places.) Probability

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A polygraph (lie detector) is an instrument used to determine if an individual is
telling the truth. These tests are considered to be 95% reliable. In other words, if
an individual lies, there is a 0.95 probability that the test will detect a lie. Let there
also be a 0.025 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.
a. What is the probability of a Type I error? (Round your answer to 3 decimal
places.)
Probability
b. What is the probability of a Type II error? (Round your answer to 2 decimal
places.)
Probability
Transcribed Image Text:A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a 0.95 probability that the test will detect a lie. Let there also be a 0.025 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. a. What is the probability of a Type I error? (Round your answer to 3 decimal places.) Probability b. What is the probability of a Type II error? (Round your answer to 2 decimal places.) Probability
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