3.14.C—Identify the null and alternative hypotheses for a chi-square test for homogeneity or independence

Identify the null and alternative hypotheses for a chi-square test for homogeneity or independence.

• The appropriate null hypothesis for a chisquare test for homogeneity is H0: there is no difference in the distributions of the categorical v ariable across populations or treatments. The appropriate alternative hypothesis for a chisquare test for homogeneity is Ha: there is a difference in the distributions of the categorical v ariable across populations or treatments.
• The appropriate null hypothesis for a chisquare test for independence is H0 : there is no association between two categorical variables in a given population or the two categorical variables in a given population are independent of each other. The appropriate alternative hypothesis for a chi-square test for independence is Ha: there is an association between two categorical variables in a given population or the two categorical variables in a given population are not independent of each other.