Suppose you want to model a set of interaction relationships between Catholicism

Suppose you want to model a set of interaction relationships between Catholicism, religious attendance, and abortion beliefs. You think that the positive effect of religious attendance on anti-abortion attitudes is significantly stronger for Catholics than non-Catholics. To construct the interaction model, you will build on the base effects of the model
y = a + b1(Catholic) + b2(high attendance), where “Catholic” is a Catholic/non-Catholic dummy (Catholics are coded 1, non-Catholics coded 0) and “high attendance” is a high attendance /low attendance dummy (frequent attenders are coded 1, infrequent attenders are coded 0). Before you specify the model, you will need to compute an interaction variable.
A. The interaction variable is computed by multiplying ____________times _____________.
B. Which of the following groups of respondents will have a value of 0 on the interaction variable?
i) Catholic low-attenders
ii) non-Catholic low-attenders
iii) Catholic high-attenders
iv) non-Catholic high-attenders
C. Which of the following groups of respondents will have a value of 1 on the interaction variable?
i) Catholic low-attenders
ii) non-Catholic low-attenders
iii) Catholic high-attenders
iv) non-Catholic high-attenders
D. Write out the interaction model to be estimated.
E. Focus on the coefficient that estimates the interaction effect. If your idea is correct – that the positive effect of religious attendance on anti-abortion attitudes is significantly stronger for Catholics than non-Catholics – then would you expect the sign on the coefficient to be:
i) negative
ii) positive
iii) close to 0