For a given alpha level,what happens to the critical value for a chi-square test if the number of categories is increased?
A)The critical value also 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

For a given alpha level,what happens to the critical value for a chi-square test if the number of categories is increased?​
A)​The critical value also 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.

Quizplus · Accepted Answer

The critical value for a chi-square test increases as the number of categories increases because the degrees of freedom (calculated as the number of categories minus one) increase, and the critical value is determined based on the degrees of freedom and the alpha level.

For a Given Alpha Level,what Happens to the Critical Value