Controlling for religious affiliation and political party affiliation, are Females
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Controlling for religious affiliation and political party affiliation, are Females

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?

Hint
StatisticsEstimated probability is used to predict how likely an event occurs and how many times its outcomes, it is basically the outcome of an experiment. Estimated number of outcomes =predicted probability by a total number of outcomes...

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