A chi-square goodness-of-fit test leads to a decision to retain the null hypothesis.Which of the following correctly explains this decision?
A)frequencies observed were significantly different from frequencies expected at each level of the categorical variable
B)frequencies observed were significantly different from frequencies expected across the levels of the categorical variable
C)frequencies observed were significantly different from frequencies expected within and between expected frequencies
D)Frequencies observed were statistically similar to the frequencies expected at each level of the categorical variable

Question

Quizplus · Accepted Answer

The chi-square goodness-of-fit test is used to determine if the observed frequencies in a categorical variable are significantly different from the expected frequencies. If the test leads to a decision to retain the null hypothesis, it means that there is not enough evidence to reject the null hypothesis that the observed frequencies are similar to the expected frequencies at each level of the categorical variable. Therefore, answer D correctly explains this decision.

A Chi-Square Goodness-Of-Fit Test Leads to a Decision to Retain