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A homeowner thinks she may need a new roof. Because of costs, she wants to be...

A homeowner thinks she may need a new roof. Because of costs, she wants to be sure a new roof is really needed before having the current one replaced. What is the homeowner's null hypothesis and what would be a type 1 error?

a) H0: A new roof is not needed. A type 1 error would occur if she had a new roof put when it was not needed.

b) H0: A new roof is needed. A type 1 error would occur if she did not have a new roof put on when it was needed.

c) H0: A new roof is not needed. A type 1 error would occur if she did not have a new roof put when it was needed.

d) H0: A new roof is needed. A type 1 error would occur if she had a new roof put on when it was not needed.

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Answer #1

Ho: A new roof is not needed

Ha: A new roof is needed

Type I error is the probability of rejecting a true null hypothesis, so the answer is

(a) H0: A new roof is not needed. A type 1 error would occur if she had a new roof put when it was not needed.

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