A one-sided significance test gives a p-value of. 04. From this we can

a. Reject the null hypothesis with 99% confidence.

b. Reject the null hypothesis with 96% confidence.

c. Say that the probability that the null hypothesis is false is. 04.

d. Say that the probability that the null hypothesis is true is. 04.

Question

Amara

Mathematics

7 June, 15:00

A one-sided significance test gives a p-value of. 04. From this we can

a. Reject the null hypothesis with 99% confidence.

b. Reject the null hypothesis with 96% confidence.

c. Say that the probability that the null hypothesis is false is. 04.

d. Say that the probability that the null hypothesis is true is. 04.

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Answers (1)

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Bridger Park · Answer 1

A one-sided significance test gives a p-value of. 04. From this we can

Answer: The correct option is b. Reject the null hypothesis with 96% confidence.

Explanation:

The P-value based rule is that if the P-value is less than or equal to the significance level, we reject the null hypothesis and if the P-value is greater than the significance level, we fail to reject the null hypothesis.

Now in the given situation, the P-value = 0.04, and significance level is 1 - 0.96 = 0.04. Since the P-value is less than or equal to the significance level, we therefore, reject the null hypothesis with 96% confidence