A GSS cross-classified income in thousands of dollars

(<5, 5–15, 15–25,>25) by job satisfaction (very dissatisfied, a little satisfied, moderately satisfied, very satisfied)

for black Americans. Software provides the results shown in Table 8.26.

(a) Interpret theP-value reported for the chi-squared test.

(b) Conduct an alternative test of independence that takes category ordering into account. Why are results so different from the chi-squared test?

(c) Construct the 95% confidence interval for gamma.
Interpret.