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A polygraph (lie detector) is an instrument used to determine if an individual is telling the...

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 90% reliable. In other words, if an individual lies, there is a 0.90 probability that the test will detect a lie. Let there also be a 0.045 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 2 decimal places.) Probability:_________________

b. What is the probability of a Type II error? (Round your answer to 2 decimal places.)

Probability:_________________

Math   Statistics-And-Probability   
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Answer #1

Ho: The​​​​ individual is telling the truth

H1: The individual is not telling the truth. Or individual is lying.

Type 1 error: is the probability of rejecting Ho when it is true.

Thet is test detects lie when the individual is telling the truth. Here we are rejection Ho when it is true with

a . What is probability of Type 1 error?

Probability= 0.045

Type 2 error is probability of accepting Ho when it is false= 1- probability of rejecting Ho when it is false= 1- probability that test will detect lies when individual is lying =1- Power=1-0.9= 0.1

b. What is probability of a Type 2 error

Probability: 0.10

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