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Effects of Degrees of Freedom on the Chi-square Distribution

APSTAT-FEY4AG

Which of the following statements are true?

I. A small chi-square value leads to rejecting the null hypothesis.

II. The chi-square distribution is nearly normal for very large degrees of freedom.

III. If a chi-square value leads to rejecting the null hypothesis with $20$ degrees of freedom it must also lead to rejecting the null hypothesis with $10$ degrees of freedom.

A

I only.

B

II only.

C

III only.

D

I and III only.

E

II and III only.