If the value of the test statistic is in the rejection region,then
A)p

Question

If the value of the test statistic is in the rejection region,then
A)p < .05
B)the decision is to reject the null hypothesis
C)the value of the test statistic is larger than the critical value
D)all of the above

Quizplus · Accepted Answer

If the value of the test statistic is in the rejection region, it means that the probability of obtaining such extreme results (as observed in the sample) is very low. This is represented by a p-value less than the significance level (typically 0.05). Therefore, we can conclude that the decision is to reject the null hypothesis, which assumes that there is no significant difference between the sample mean and the population mean. This decision is based on the fact that the value of the test statistic exceeds the critical value (which is determined based on the significance level and degrees of freedom of the test). Therefore, all of the above options apply when the test statistic is in the rejection region.

If the Value of the Test Statistic Is in the Rejection