If your value of a statistic like the t-test falls in the ______ area of this distribution, you will ______ the null hypothesis ______ because the probability of the statistic is ______.
A) shaded; reject; low
B) shaded; not reject; high
C) unshaded; reject; low
D) unshaded; not reject; low

Question

If your value of a statistic like the t-test falls in the ______ area of this distribution, you will ______ the null hypothesis ______ because the probability of the statistic is ______. 
A) shaded; reject; low 
B) shaded; not reject; high 
C) unshaded; reject; low 
D) unshaded; not reject; low

Quizplus · Accepted Answer

In hypothesis testing, we look at the p-value to determine whether to reject or not reject the null hypothesis. If the p-value is low (usually less than 0.05), we reject the null hypothesis. This means that we believe that there is a significant difference between the groups being compared. If the p-value is high, we do not reject the null hypothesis. This means that we do not have enough evidence to conclude that there is a significant difference between the groups. The shaded area in the distribution represents the area where we reject the null hypothesis, so if our statistic falls in this area, we reject the null hypothesis. Therefore, the best choice is A.

If Your Value of a Statistic Like the T-Test Falls