Question

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

Answer 1

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

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