In a goodness-of-fit test, suppose that the value of the test statistic is 13.08 and the number of degrees of freedom is 6. At the 5% significance level, what may one conclude about the null hypothesis?
A) It is rejected, and the p-value for the test is smaller than 0.05.
B) It is not rejected, and the p-value for the test is greater than 0.05.
C) It is rejected, and the p-value for the test is greater than 0.05.
D) It is not rejected, and the p-value for the test is smaller than 0.05.

Question

Quizplus · Accepted Answer

The test statistic is larger than the critical value at the 5% level of significance for 6 degrees of freedom. Thus, the null hypothesis is rejected. Since the null hypothesis is rejected, the p-value for the test must be smaller than 0.05.

In a Goodness-Of-Fit Test, Suppose That the Value of the Test