2.50 points A polygraph (lie detector) is an instrument used to determine if the
ID: 3361927 • Letter: 2
Question
2.50 points 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 0.95 probability that the test will detect a lie. Let there also be a 0.055 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 Type I error? (Round your answer to 3 decimal places.) Probability b. What is the probability of Type Il error? (Round your answer to 2 decimal places.) Probability Hints eBook&Resources; Hint#1 Check my workExplanation / Answer
solution=
Null hypothesis : The individual is telling the truth.
Alternative hypothesis : The individual is not telling the truth.
a)
P(Type I error) = P( rejecting the null hypothesis when it is true) = 0.055
b)
P(Type II error) = P( not rejecting the null hypothesis when it is false) = 1-0.95 =0.05
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