True or false:a. If we reject H0, then we conclude that H0

Chapter 6, Problem 2E

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QUESTION:

True or false:

a. If we reject \(H_{0}\), then we conclude that \(H_{0}\) is false.

b. If we do not reject \(H_{0}\), then we conclude that \(H_{0}\) is true.

c. If we reject \(H_{0}\), then we conclude that H1 is true.

d. If we do not reject \(H_{0}\), then we conclude that \(H_{1}\) is false.

Equation transcription:

Text transcription:

H_{0}

H_{1}

Questions & Answers

QUESTION:

True or false:

a. If we reject \(H_{0}\), then we conclude that \(H_{0}\) is false.

b. If we do not reject \(H_{0}\), then we conclude that \(H_{0}\) is true.

c. If we reject \(H_{0}\), then we conclude that H1 is true.

d. If we do not reject \(H_{0}\), then we conclude that \(H_{1}\) is false.

Equation transcription:

Text transcription:

H_{0}

H_{1}

ANSWER:

Step 1 of 4

We can only make two conclusions from a hypothesis test:  is false or  is plausible.

(a) True, because if we reject , then this indicates that the null hypothesis is incorrect and thus that the null hypothesis  is false.

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