When a prison inmate comes up for parole, will his or her race influence the decision of
the parole board? In this assignment you will use Chi-Square tests to examine data that
was used in a lawsuit alleging discrimination against Native Americans and Mexican-Americans
by the Nebraska Board of Parole.
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The Datafile:
Open the data file. You are interested in these two variables:
- race or ethn :
A = Native American, B = Black, M = Mexican, W = White
- parole? :
D = Denied Parole, R = Received Parole
Examine:
You want to examine the association between race/ethnicity and parole decisions. Select
race as
Y and
parole? as
X , then under
Calc choose
Contingency Tables. Specify
the information you want shown in the table by going to the
Calculation Options - Table Options
checklist. You will at least want to see
Percent of Row Total and the
Chi-Square value.
The Contingency Table:
Examine the information presented in the contingency table ‡. Interpret the results in terms
understandable to the judge hearing the case.
- Compare the percentagees of parole denials for the various racial/ethnic groups.
- What is the null hypothesis being tested?
- Interpret the P-value.
- What is your conclusion?
The Lawsuit:
Now compare the parole decisions for the groups who brought the lawsuit to the decisions for the others.
- First create a new Bernoulli variable having a value of
0
if the inmate was Black or White
or 1
if the inmate was native American or Mexican-American:
- Data → New Derived Variable.
- Name the variable A.or.M then define it with the
- Formula:
-
(textof('race or ethn')="M") OR (textof('race or ethn')="A")
- Select A.or.M as Y and parole? as X, and create a new contingency table and
Chi-Square analysis ‡.
- Interpret these results and write a conclusion for the judge.
The Judgement:
The judge in this case decided that there was no evidence that anyone was treated unfairly. Does
that agree with your finding? (Should courses in statistics be required in law schools?)
The End!
Your completed assignment is due in lab next week.