For a fixed level of significance,the critical value for the chi-square will ____.
A)increase as the df value increases
B)decrease as the df value increases
C)increase as the sample size increases
D)decrease as the sample size increases

Question

For a fixed level of significance,the critical value for the chi-square will ____.​
A)​increase as the df value increases
B)​decrease as the df value increases
C)​increase as the sample size increases
D)​decrease as the sample size increases

Quizplus · Accepted Answer

The critical value for the chi-square increases as the degrees of freedom (df) value increases. This is because for larger df values, the distribution becomes less skewed and the tails become less spread out, leading to a larger critical value requirement for rejection of the null hypothesis. The sample size does not directly affect the critical value for the chi-square.

For a Fixed Level of Significance,the Critical Value for the Chi-Square