A psychologist is interested in testing whether there is a difference in the distribution of personality

A psychologist is interested in testing whether there is a difference in the distribution of personality…

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 39 52 46 61 57
Social Science 71 75 62 81 65

a. What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.)

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

c. What is the p-value? (Round your answer to four decimal places.)
d. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write the appropriate conclusion.

(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =