CCJS 200: Exam #2
CCJS 200 Summer I, 2021: Assignment #14
Name______________________________
This assignment is due Wednesday July 7th, 11:59pm.
Capital punishment law is among the most complex bodies of law in our legal system. As a result, judges make frequent e
ors in capital cases in terms of their rulings regarding a change of venue, the decision to sequester jurors, suppression of evidence, etc. When these e
ors are made, cases are often won on appeal and have to be retried or have a second penalty phase hearing. The Trial Judges Association thinks that only those judges who have received special training should sit on capital cases because these judges would commit fewer e
ors and there would be fewer cases lost on appeal. You decide to test this hypothesis. You take a random sample of 15 judges who have received extensive training in capital punishment law. You match these judges with 15 other judges who have not received such training but are matched in terms of years on the bench, experience as trail lawyers, gender, and age. You want the two groups of judges to be alike in every way except in the experience of capital punishment law training. The data on your matched groups of judges is in the table shown below. The numbers in the columns ‘Untrained’ and ‘Trained’ are the number of cases lost on appeal for each pair of judges.
Judge
Untrained
Trained
XD (Untrained-Trained)
X
D
XD -
X
D
(XD -
X
D)2
1
3
0
2
1
3
3
2
4
4
7
4
5
5
2
6
4
5
7
6
1
8
2
1
9
7
0
10
5
6
11
3
4
12
4
2
13
5
5
14
6
3
15
2
1
å
å
Test the null hypothesis that the mean difference in the number of cases lost on appeal for the two groups is zero, against the alternative hypothesis that the untrained judges lose more cases on appeal. Use an alpha level of .01.
[Hint 1: When doing calculations on Step 4, use the information from the table to calculate SD first, you will need it for the statistical formula.]
[Hint 2: Concerning directionality of the alternative hypothesis, if we suspect the untrained judges lose more cases, what does this mean for the XD (Untrained-Trained) and the
X
D? Will it be positive or negative?
Step 1) Null Hypothesis XXXXXXXXXXH0:
XXXXXXXXXXAlternative Hypothesis-------H1:
Step 2) State the test statistic and the number of the degrees of freedom that you will use fo
XXXXXXXXXXthis hypothesis test.
XXXXXXXXXXTest statistic: ___________________ Degrees of Freedom: __________________
Step 3) Your level of significance (alpha) is .01.
XXXXXXXXXXDetermine the critical value and rejection region of the test statistic based on
XXXXXXXXXXthe directionality information, the alpha level, and degrees of freedom given
XXXXXXXXXXabove. Make sure to draw and label these values on a bell shaped curve in
XXXXXXXXXXthe space provided below:
Step 4) Calculate the obtained value of the test statistic.
Step 5) Make a decision about your null hypothesis and interpret this decision
XXXXXXXXXXin a meaningful way.
1
_ XXXXXXXXXXunknown
_ XXXXXXXXXXunknown
_ XXXXXXXXXXunknown