In a goodness-of-fit test, suppose that a sample showed that the observed frequency and expected frequency were equal for each cell i. Then, the null hypothesis is:
A) rejected at0.05 but is not rejected at0.025
B) not rejected at0.05 but is rejected at0.025
C) rejected at any level
D) not rejected at anylevel
E) not rejected at 0.05

Question

In a goodness-of-fit test, suppose that a sample showed that the observed frequency  and expected frequency  were equal for each cell i. Then, the null hypothesis is:
A) rejected at0.05 but is not rejected at0.025 
B) not rejected at0.05 but is rejected at0.025 
C) rejected at any level 
D) not rejected at anylevel 
E) not rejected at> 0.05

Quizplus · Accepted Answer

If the observed frequency and expected frequency are equal for each cell, then it means that the sample fits the expected distribution well. Therefore, the null hypothesis (that the distribution fits the expected distribution) is not rejected. This conclusion holds at any level of significance.

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