What happens to the critical value for a chisquare test if t

What happens to the critical value for a chi-square test if the number of categories is increased?

The critical value increases.

The critical value decreases.

The critical value depends on the sample size, not the number of categories.

The critical value is determined entirely by the alpha level.

Solution

As the number of categories increased, degree of freedom of the test is also increases. If level of significance remains constant, then as the degree of freddom increases, the crtiical value also incareses.