In a one-tail hypothesis test where you reject Upper H0 only in the lower tail, it was found that the p-value is 0.0256 if ZSTAT = - 1.95. What is your statistical decision if you test the null hypothesis at the 0.10 level of significance?

A) Reject the null hypothesis because the p-value is greater than the level of significance. B) Reject the null hypothesis because the p-value is less than the level of significanceC) Fail to reject the null hypothesis because the p-value is less than the level of significance. D) Fail to reject the null hypothesis because the p-value is greater than the level of significance

Question

Aedan Porter

Mathematics

4 October, 16:44

In a one-tail hypothesis test where you reject Upper H0 only in the lower tail, it was found that the p-value is 0.0256 if ZSTAT = - 1.95. What is your statistical decision if you test the null hypothesis at the 0.10 level of significance?

A) Reject the null hypothesis because the p-value is greater than the level of significance. B) Reject the null hypothesis because the p-value is less than the level of significanceC) Fail to reject the null hypothesis because the p-value is less than the level of significance. D) Fail to reject the null hypothesis because the p-value is greater than the level of significance

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Answers (1)

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Camilla Best · Answer 1

B) Reject the null hypothesis because the p-value is less than the level of significance

Step-by-step explanation:

Given that in a one-tail hypothesis test where you reject Upper H0 only in the lower tail, it was found that the p-value is 0.0256 if ZSTAT = - 1.95.

So p value = 0.0256

But alpha here is 0.10

Since p <0.10

Whenever p is less than alpha, we reject null hypothesis

Hence correct answer is

B) Reject the null hypothesis because the p-value is less than the level of significance