Question

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

NCUMBENT = $\beta$1 + $\beta$2MALE + $\beta$3PARTY + $\beta$4MARRIED + $\beta$5KIDS

where

INCUMBENT = 1if 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 with the voter.

What is the probability that a married female without kids who is not registered with a political party will vote for the incumbent?

	a.  $\beta$1 + $\beta$4
	b.	$\beta$1
	c.	$\beta$1 + $\beta$2 + $\beta$3 + $\beta$5
	d.	$\beta$2 + $\beta$3 + $\beta$5

Answer 1

Answer

The correct answer is (a) $\beta$1 + $\beta$4.

Economic Model is given by :

INCUMBENT = $\beta$1 + $\beta$2MALE + $\beta$3PARTY + $\beta$4MARRIED + $\beta$5KIDS

Now, It is given that She is a female and thus implies that Male = 0. It is given that this voter is not registered with the same political party as the incumbent and thus PARTY = 0. She also does not have any kinds and thus KIDS = 0. As she is married implies MARRIED = 1.

Hence we have,

INCUMBENT = $\beta$1 + $\beta$2MALE + $\beta$3PARTY + $\beta$4MARRIED + $\beta$5KIDS

= $\beta$1 + $\beta$2*0 + $\beta$3*0 + $\beta$4*1 + $\beta$5*0

=> INCUMBENT = $\beta$1 + $\beta$4

Hence, the probability that a married female without kids who is not registered with a political party will vote for the incumbent = $\beta$1 + $\beta$4

Hence, the correct answer is (a) $\beta$1 + $\beta$4.