Please give a detailed answer for the below problem with easy-to-read hand-writing.

The reference of problem212 and the table are given below.

6.5 Refer to Problem 2.12. a. Fit the model with G and D main effects. Using it, estimate the AG conditional odds ratio. Compare to the marginal odds ratio, and explain why they are so different. Test its goodness of fit. b. Fit the model of no G effect, given the department. Use X2 to test fit. Obtain residuals, and interpret the lack of fit. (Each department has a single nonredundant standardized Pearson residual. They satisfy EL, r} = X 2, their squares giving six df = 1 components.) c. Fit the two models excluding department A. Again consider lack of fit, and interpret. 2.12 Table 2.10 refers to applicants to graduate school at the University of California at Berkeley, for fall 1911 It presents admissions decisions by gender of applicant for the six largest graduate departments. De- note the three variables by A = whether admitted, G = gender, and D = department. Find the sampie AG conditional odds ratios and the marginal odds ratio. Interpret, and explain why they give such different indications of the AG assoeiation. (1 TABLE 2.10 Data for Problem 2.12 Whether Admitted Male Female Department Yes No Yes No A 512 313 E9 19 B 353 2ll'.l 1.? 3 C 120 205 so: 391 D 138 219 131 244 E 53 133 94 299 F 22 351 24 31? Total 1193 1493 55? ms Secure: Data from Freedman el al. (1W8. p.14]. See also P. Bickel at at. Science 137: seas-403 {1915}. lo