The following economic model predicts whether a voter will vote for an incumbent school board member INCUMBENT = $\beta$ ₁ + $\beta$ ₂ MALE + $\beta$ ₃PARTY + $\beta$ ₄MARRIED + $\beta$ ₅KIDS
Where
INCUMBENT = 1 if the voter votes for them,0 otherwise,
MALE = 1 if the voter is a male,
PARTY indicates the voter is registered with the same political party as the incumbent,
MARRIED = 1 for married voters,0 otherwise,and
KIDS is the number of school age kids living in the voter's house.
If you hypothesize males and females might have a different willingness to vote for a candidate registered with a different political party,which variable should you add to the economic model to allow you to test the hypothesis?

Question

The following economic model predicts whether a voter will vote for an incumbent school board member INCUMBENT =

\beta

₁ +

\beta

₂ MALE +

\beta

₃PARTY +

\beta

₄MARRIED +

\beta

₅KIDS
Where
INCUMBENT = 1 if the voter votes for them,0 otherwise,
MALE = 1 if the voter is a male,
PARTY indicates the voter is registered with the same political party as the incumbent,
MARRIED = 1 for married voters,0 otherwise,and
KIDS is the number of school age kids living in the voter's house.
If you hypothesize males and females might have a different willingness to vote for a candidate registered with a different political party,which variable should you add to the economic model to allow you to test the hypothesis?

Quizplus · Accepted Answer

To test the hypothesis, we need to add an interaction term between MALE and PARTY, as this allows us to see if there is a difference in the effect of PARTY depending on the gender of the voter. Adding an interaction term between MARRIED and PARTY (D) would test if there is a difference based on the marital status of the voter, but this is not relevant to the hypothesis presented. The other options, MARRIED * KIDS (C) and MALE * MARRIED (B), are also not relevant to the hypothesis presented.

The Following Economic Model Predicts Whether a Voter Will Vote β\betaβ

The Following Economic Model Predicts Whether a Voter Will Vote $\beta$