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.

TABLE 8.26

| jobsat income | 1 2 3 4

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1 | 2 4 13 3 2 | 2 6 22 4 3 | 0 1 15 8 4 | 0 3 13 8

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Pearson chi2(9) = 11.5243 Pr = 0.241 gamma = 0.3551 ASE = 0.122

(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.