II. The data in Table 4.12, refer to ratings of agricultural extension agents in North Carolina. In each of five districts, agents were classified by their race and by whether they qualified for a merit pay increase. Use logit models to perform the Breslow-Day and Cochran-Mantel-Haenszel tests. Write down their null and alternative hypotheses and interpret the results.

Table 4.12. Data for Problem 4.15 on Merit Pay and Race Blacks, Merit Pay Whites, Merit Pay District Yes No Yes No NC 24 47 12 NE 10 45 1 00 NW 5 57 SE 16 54 C SW 7 59 12 Source: J. Gastwirth, Statistical Reasoning in Law and Public Policy, Vol. 1, 1988, p. 268