14.9 In a study designed to investigate the relationship between age and degree of job satisfaction among clerical workers, a random sample of 100 clerical workers were interviewed and classified according to these characteristics as shown below.

Age Job Satisfaction (1¼Least Satisfied)

1 2 3 Total Under 25 8 7 5 20 25–39 12 8 20 40 40 and over 20 15 5 40 Total 40 30 30 100

(a) Test whether there is any association between age and job satisfaction using the chi-square test.

(b) Calculate the contingency coefficient and the phi coefficient.

(c) Calculate Kendall’s tau with correction for ties and test for association.

(d) Calculate the Goodman–Kruskal coefficient.