Please give a detailed answer with easy-to-read hand-writing.

7.1 For Table 7.13, let Y = belief in life after death, x, = gender (1 = females, 0 = males), and x2 = race (1 = whites, 0 = blacks). Table 7.14 shows the fit of the model log( T; / 73) = 0; + B,"x, + B,RX2, j = 1,2, with SE values in parentheses. TABLE 7.13 Data for Problem 7.1 Belief in Afterlife Race Gender Yes Undecided No White Female 371 19 74 Male 250 45 71 Black Female 64 15 Male 25 13 Source: 1991 General Social Survey, National Opinion Research Center. TABLE 7.14 Fit of Model for Problem 7.1 Belief Categories for Logit Parameter Yes/No Undecided/No Intercept 0.883 (0.243) -0.758 (0.361) Gender 0.419 (0.171) 0.105 (0.246) Race 0.342 (0.237) 0.271 (0.354) a. Find the prediction equation for log( , / 2). b. Using the yes and no response categories, interpret the conditional gender effect using a 95% confidence interval for an odds ratio. c. Show that for white females, #, = P(Y = yes) = 0.76. d. Without calculating estimated probabilities, explain why the inter- cept estimates indicate that for black males # , > #; > #2. Use the intercept and gender estimates to show that the same ordering applies for black females. e. Without calculating estimated probabilities, explain why the esti- mates in the gender and race rows indicate that #; is highest for black males. f. For this fit, G? = 0.9. Explain why residual df = 2. Deleting the gender effect, G- = 8.0. Test whether opinion is independent of gender, given race. Interpret