You are interested in examining two questions about juries: (i) Is the compositi

Question

You are interested in examining two questions about juries:

(i) Is the composition of juries representative of the adult population? (ii) Is it representative of the pool of available jurors?

The following is information about cross-sectional data on a random sample of 100,000 people from the United States.

(No data set is needed)

All of the people in the sample are age 45. The variables are:

J = number of times the individual has served on a jury during his or her life (up to his or her current age of 45)  

S = individual's years of schooling.  

H = individual's usual hours of work per week as an adult (this can be equal to zero)

Dermale = 1 if individual is female; 0 otherwise  

AfricAm = 1 if individual is African American; 0 otherwise

DHispanic = 1 if individual is Hispanic; 0 otherwise

DAsian = 1 if individual is Asian; 0 otherwise  

R = number of months since his or her 18th birthday that the individual has been registered to vote.

Suppose that all the individuals in your sample live in states where potential jurors are drawn from the list of registered voters. Therefore, the more months a person has been registered to vote (from the age of 18 to his or her current age of 45), the more chances the individual has had to be drawn for potential jury duty. If you are unfamiliar with the U.S. jury system, you will need to know that not all potential jurors (i.e., the jury pool) are assigned to jury duty. Lawyers can object to certain people in the pool and prevent them from being on juries. Other potential jurors may be relieved of jury duty if they claim certain hardships

A. Set up the regression equation that you would use to answer the first question.

B. Set up the regression equation that you would use to answer the second question.

Explanation / Answer

In both the cases, we would be using the below equation: -

a)

y=B1*S+B2*H+B3*Dermale+B4*AfricAm+B5*DHispanic+B6*DAsian+B7*R

b)

y=B1*S+B2*H+B3*Dermale+B4*AfricAm+B5*DHispanic+B6*DAsian+B7*R+B8*J

We would be including the variable J in the 2nd case as that would be representative of the fact that the juror is representative of the pool of available jurors. All other variables go in common.

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