A t test value that is smaller than the tabled value of t
A) leads to retention of the null hypothesis
B) has a probability greater than $\alpha$, if the null hypothesis is true
C) both of the descriptive alternatives are correct
D) neither of the descriptive alternatives is correct.

Question

Quizplus · Accepted Answer

A t-test value that is smaller than the tabled value of t indicates that the observed data are not significantly different from what would be expected under the null hypothesis, leading to the retention of the null hypothesis. Additionally, this situation implies that the probability of observing such a result, or more extreme, given that the null hypothesis is true, is greater than the significance level (often denoted as alpha, α), supporting both A and B as correct interpretations.

A T Test Value That Is Smaller Than the Tabled α\alphaα

A T Test Value That Is Smaller Than the Tabled $\alpha$