Back to 11.4 Test for Homogeneity

11.4 Exercise 15

Avg difficulty 2.5

For each word problem, use a solution sheet to solve the hypothesis test problem. Go to the reference 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 the table. Conduct a test of homogeneity. Test at a 5 percent level of significance.

Open Conscientious Extrovert Agreeable Neurotic
Business 41 52 46 61 58
Social Science 72 75 63 80 65

OpenStax Statistics, 11.4 Test for Homogeneity, exercise 15

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