In a goodness-of-fit test, suppose that a sample showed that the observed frequency and the expected frequency were equal for each cell i. Using this information, what may one conclude about the null hypothesis?
A) It is rejected at0.05 but is not rejected at0.025.
B) It is not rejected at0.05 but is rejected at0.025.
C) It is rejected at any level.
D) It is not rejected at anylevel.

Question

In a goodness-of-fit test, suppose that a sample showed that the observed frequency  and the expected frequency  were equal for each cell i. Using this information, what may one conclude about the null hypothesis?
A) It is rejected at0.05 but is not rejected at0.025. 
B) It is not rejected at0.05 but is rejected at0.025. 
C) It is rejected at any level. 
D) It is not rejected at anylevel.

Quizplus · Accepted Answer

If the observed frequency and expected frequency are equal for each cell, then the null hypothesis of the goodness-of-fit test is not rejected. This is because the observed data fits the expected distribution well, and there is no evidence to suggest that the expected distribution is significantly different from the observed data. Therefore, the null hypothesis is not rejected at any level of significance.

In a Goodness-Of-Fit Test, Suppose That a Sample Showed That