Refer to the data in Problem 7.22.

a. Test conditional independence against the alternative that the mean job satisfaction varies by level of income, controlling for gender. Report and interpret a relevant test statistic.

b. Conduct the test and interpret results for the alternative that mean income varies by level of job satisfaction, controlling for gender.

c. Conduct the test using a general association statistic not designed to detect any particular pattern of association. Interpret, and indicate the extent to which your conclusions suffer from not using the ordinality.