# Which of the following is true about the chi-square test for homogeneity? A) The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. B) Volunteers do not constitute a random sample from the population of all patients with the chronic intestinal condition; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. C) Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met. D) Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test of homogeneity. E) Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.

Which of the following is true about the chi-square test for homogeneity?

A) The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups.

B) Volunteers do not constitute a random sample from the population of all patients with the chronic intestinal condition; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups.

C) Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met.

D) Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test of homogeneity.

E) Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.

## Answer

Answer: E) Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.

Explanation: The chi-square test requires that expected cell counts be sufficiently large (typically at least 5) to ensure valid results.