A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 91% reliable. In other words, if an individual lies, there is a 0.91 probability that the test will detect a lie. Let there also be a 0.002 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

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Mathematics

Alden Vasquez

2 December, 15:10

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 91% reliable. In other words, if an individual lies, there is a 0.91 probability that the test will detect a lie. Let there also be a 0.002 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

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Tiara Kirby · Answer 1

probability of a Type I error=0.002

Step-by-step explanation:

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) = 0.002