If P = 0.50, which is the best conclusion?i. H0 is

Chapter 6, Problem 4E

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QUESTION:

If P = 0.50, which is the best conclusion?

i. \(H_{0}\) is definitely false.

ii. \(H_{0}\) is definitely true.

iii. There is a 50% probability that \(H_{0}\) is true.

iv. \(H_{0}\) is plausible, and H1 is false.

v. Both \(H_{0}\) and \(H_{1}\) are plausible.

Equation transcription:

Text transcription:

H_{0}

H_{1}

Questions & Answers

QUESTION:

If P = 0.50, which is the best conclusion?

i. \(H_{0}\) is definitely false.

ii. \(H_{0}\) is definitely true.

iii. There is a 50% probability that \(H_{0}\) is true.

iv. \(H_{0}\) is plausible, and H1 is false.

v. Both \(H_{0}\) and \(H_{1}\) are plausible.

Equation transcription:

Text transcription:

H_{0}

H_{1}

ANSWER:

Step 1 of 2

Given:

We can never be  sure about the conclusion of a hypothesis test, thus we cannot conclude that  is definitely false or definitely true.

The P-value does not indicates the likelihood of the null hypothesis being true (but the probability of obtaining the sample results or more extreme when the null hypothesis is true) and thus the statement that there is a  probability that  is true is not correct.

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