15.8. Let P(y = 1) denote the probability that a randomly selected respondent supports current laws legalizing abortion, estimated using sex of respondent (s = 0, male; s = 1, female), religious affiliation (r1 = 1, Hindu, 0 otherwise; r2 = 1, Christian, 0 otherwise; r1 = r2 = 0, Muslim), and political party affiliation (p1 = 1, Party A, 0 otherwise; p2 = 1, Party B, 0 otherwise; p1 = p2 = 0, No Affiliation). The logistic model with main effects has the prediction equation logit[ˆP(y = 1)] = 0.12 + 0.15s − 0.60r1 − 0.68r2 + 0.49p1.

(a) Give the effect of sex on the odds of supporting legalized abortion; that is, if the odds of support for females equal θ times the odds of support for males, report ˆθ .

(b) Give the effect of being in support of Party A instead of not being affiliated on the estimated odds of support for legalized abortion.

(c) Give the effect of being in support of Party A instead of in support of Party B on the estimated odds of support for legalized abortion.

(d) Find the estimated probability of supporting legalized abortion, for (i) female Muslim supporters of Party A,

(ii) male Christian supporters of Party B.