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 below. Conduct a test of homogeneity. Test at a 5% level of significance.

	Open	Conscientious	Extrovert	Agreeable	Neurotic
Business	43	50	46	61	58
Social Science	74	73	65	78	67

What is the test statistic? (Round your answer to two decimal places.)

What is thep-value? (Round your answer to four decimal places.)