Question: 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

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.)

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