If the null hypothesis is not rejected in a one-sample t test, then the.
A)sample mean and the population mean differ significantly from each other
B)alpha level should be increased
C)observed difference between the sample mean and the population mean is attributed to sampling error
D)distributions of scores within both the sample and the population are normal

Question

Quizplus · Accepted Answer

If the null hypothesis is not rejected in a one-sample t test, it means that the observed difference between the sample mean and the population mean is not significant enough to conclude that they are different from each other. This lack of significance is attributed to sampling error, which suggests that the sample is a representative of the population. Therefore, the null hypothesis is accepted, and there is no need to increase the alpha level. Normality is not a requirement for the null hypothesis not to be rejected, although it is important for conducting a t test.

If the Null Hypothesis Is Not Rejected in a One-Sample