In a goodness-of-fit test, the null hypothesis (no difference between sets of observed and expected frequencies) is rejected when the ________________.
A) Computed chi-square is less than the critical value
B) Difference between the observed and expected frequencies is significantly large
C) Difference between the observed and expected frequencies is small
D) Difference between the observed and expected frequencies occurs by chance

Question

Quizplus · Accepted Answer

The null hypothesis in a goodness-of-fit test is rejected if there is a significant difference between the observed and expected frequencies. Therefore, the best choice is B because it states that the difference between the observed and expected frequencies is significantly large. The other choices are incorrect because the computed chi-square value should be greater than the critical value (not less) for the null hypothesis to be rejected, and a small difference between observed and expected frequencies (choice C) would not lead to rejection of the null hypothesis. Choice D is also incorrect because the difference between observed and expected frequencies must not occur by chance to reject the null hypothesis.

In a Goodness-Of-Fit Test, the Null Hypothesis (No Difference Between