Let Y denote a subject’s opinion about current laws legalizing abortion (1 = support), for gender h (h = 1, female; h = 2, male), religious affiliation i (i = 1, Protestant: i = 2, Catholic; i = 3, Jewish), and political party affiliation j (j = 1, Democrat; j = 2, Republican; j = 3, Independent). For survey data, software for fitting the model logit[P(Y= 1)] = α + β^G_h + β^R_h + β^R_i + β_j^P reports α̂ = 0.62, β̂₁^G = 0.08, β̂₂^G = –0.08, β̂₁^R = –0.16, β̂₂^R = –0.25, β̂₃^R = 0.41, β̂₁^P = 0.87, β̂₂^P = –1.27, β̂^P₃ = 0.40.

a. Interpret how the odds of support depends on religion.

b. Estimate the probability of support for the group most (least) likely to support current laws.

c. If, instead, parameters used constraints β₁^G = β₁^G = β₁^P = 0, report the estimates.