1. Let π denote the probability that a randomly selected respondent supports current laws legalizing abortion, predicted using gender of respondent (G = 0, male; G = 1, female), religious affiliation (R1 = 1, Protestant, 0 otherwise; R2 = 1, Catholic, 0 otherwise; R1 = R2 = 0, Jewish), and political party affiliation (P1 = 1, Democrat, 0 otherwise; P2 = 1, Republican, 0 otherwise, P1 = P2 = 0, Independent). The logit model with main effects has prediction equation
logit(ˆπ) = 0.11 + 0.16G − 0.57R1 − 0.66R2 + 0.47P1 − 1.67P2
(a) Controlling for religious affiliation and political party affiliation, are Females estimated to be more likely than males to support legalized abortion? Why?
(b) Controlling for gender and religious affiliation, what is ratio between the estimated odds that a Democrat supports legalized abortion and the estimated odds that a Republican supports legalized abortion?
(c) What is the estimated probability that a male Jewish Independent supports legalized abortion?
(d) Which group has the highest estimated probability of supporting legalized abortion?
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