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

Question

Quizplus · Accepted Answer

At the 5% significance level with 6 degrees of freedom, the critical value for the test statistic is 12.59. Since the test statistic value of 13.08 is greater than the critical value of 12.59, we reject the null hypothesis. Moreover, the p-value for the test is smaller than 0.05, indicating strong evidence against the null hypothesis. Therefore, the correct choice is A.

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