Question

If the result of a statistical test is reported as p > .05, then it indicates that the investigator at alpha 0.05

Select one:

a.

failed to reject H1

b.
accepted H1

c. rejected H0

d. failed to reject H0

Answer 1

If the result of a statistical test is reported as p > .05, then it indicates that the investigator at alpha 0.05.

d.failed to reject H0.

EXPLANATION :

Definition of p-value: p-value of a test is nothing but probability of obtaining a sample that is as extreme or more extreme (in the direction of the alternative hypothesis H1) than the one we observe.Equivalently, p-value of a test is defined as the least level of significance where we start rejecting the null hypothesis.

So, when alpha=0.05, and p-value of a test is >0.05 then we fail to reject the null hypothesis H0.

On the other hand, if p-value <0.05 we reject the null hypothesis H0.

Please note, we cannot accept the null hypothesis H0, we can only reject or fail to reject H0.So, here the correct answer is d.failed to reject H0.