Test for Homogeneity · Exercise 11

For each word problem, use a solution sheet to solve the hypothesis test problem. Go to for the chi-square solution sheet. Round expected frequency to two decimal places.

A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in. Conduct a test of homogeneity. Test at a 5% level of significance.

$$\begin{array}{cccccc}& \text{Open}& \text{Conscientious}& \text{Extrovert}& \text{Agreeable}& \text{Neurotic}\\ \text{Business}& \text{41}& \text{52}& \text{46}& \text{61}& \text{58}\\ \text{Social Science}& \text{72}& \text{75}& \text{63}& \text{80}& \text{65}\end{array}$$

This is an open-ended exercise: its source gives no single answer.

OpenStax, Introductory Statistics 2e · §11.4 Test for Homogeneity · Exercise 11