Suppose you tested two age groups on the number of details they could recall from a paragraph.The mean for the older group is 16,and the mean for the younger group is 14.Further suppose that you fail to reject the null hypothesis for this independent samples t-test.Which of the following best accounts for the difference between these sample means?
A)A math error has been made somewhere.
B)The null hypothesis was incorrect to start with.
C)The sample means probably came from different populations,and the difference is due to sampling error.
D)The sample means probably came from the same population,and the difference is due to sampling error.

Question

Quizplus · Accepted Answer

Since we failed to reject the null hypothesis, we cannot conclude that there is a significant difference between the two means. Therefore, it is likely that the two sample means came from the same population, and any observed difference between the means is due to sampling error. A math error or incorrect null hypothesis would not be the best explanation in this case.

Suppose You Tested Two Age Groups on the Number of Details