What happens to the critical value for a chi-square test if the number of categories is increased?
A)The critical value increases.
B)The critical value decreases.
C)The critical value depends on the sample size, not the number of categories.
D)The critical value is determined entirely by the alpha level.

Question

Quizplus · Accepted Answer

The critical value for a chi-square test increases as the number of categories increases because the degrees of freedom (which are based on the number of categories minus one) increase, leading to a larger critical value for the same significance level.

What Happens to the Critical Value for a Chi-Square Test