You are interested in knowing if there is a statistically significant difference in the number of drug and alcohol, minor, and major violations among the sample of Kentucky inmates serving time in minimum security prisons. You run a Chi-Square Goodness of Fit Test (setting alpha at .05) and get the following results. Use this output to answer questions 6-12 (4.5 points each).

Violations
	Observed N	Expected N	Residual
Drug and Alcohol Violations	18	23.0	-5.0
Minor Violations	30	23.0	7.0
Major Violations	21	23.0	-2.0
Total	69

Test Statistics
	section
Chi-Square	3.391
Df	2
Asymp. Sig.	.183

1. How many individuals in the sample had committed minor violations? ________________

1. How many individuals were expected to have committed major violations? ____________

1. How many individuals in the sample had committed major violations? ________________

1. How many individuals were expected to have committed drug & alcohol violations? _____

1. What is the value of the chi-square statistic for this analysis? _____________________

1. Would you reject or fail to reject the null hypothesis? ______________________

1. Are there reliable differences between the observed and expected frequency patterns for this analysis (yes or no)? __________________

You have two samples of offenders. One sample has completed regular probation and the other has completed boot camp. You are interested in exploring the number of arrests before the offenders were sentenced. You break down number of arrests into categories and ask: Is there a relationship between number of arrests and the sentence received? You conduct a chi-square test for independence (setting alpha at .05) and get the following results. Use this output to answer questions 13-20 (4.5 points each).

Case Processing Summary
	Cases
Valid	Missing	Total
N	Percent	N	Percent	N	Percent
group * arrests	100	100.0%	0	.0%	100	100.0%
arrests * sentence Crosstabulation
	Arrests	Total
1-2	3-4	5-6	7 or more
group	probation	Count	1	8	34	7	50
Expected Count	1.5	9.0	30.5	9.0	50.0
bootcamp	Count	2	10	27	11	50
Expected Count	1.5	9.0	30.5	9.0	50.0
Total	Count	3	18	61	18	100
Expected Count	3.0	18.0	61.0	18.0	100.0
Chi-Square Tests
	Value	df	Asymp. Sig. (2-sided)
Pearson Chi-Square	2.248	3	.523
Likelihood Ratio	2.264	3	.519
N of Valid Cases	100

1. How many total subjects in the dataset had five to six arrests? _________________

1. How many subjects who received boot camp had seven or more arrests? __________

1. Of the offenders that had three to four arrests, how many were expected to get probation? ____________

1. The crosstabulation table in the above analysis is a _____ x _____ crosstab.

1. What is the chi-square value in this analysis? __________________

1. What is the p-value in the analysis? ___________________

1. Do you reject or fail to reject the null hypothesis? ____________________

1. Are the two variables independent of one another? ___________