You are interested in studying the average number of prison rule violations during the previous 12 months for minimum security inmates in Kentucky. You collect information from a sample of inmates, and your research question is: Is the average number of rule violations for Kentucky inmates significantly different from the known average for inmates nationwide? You conduct a one-sample t-test (setting alpha at .05) and get the following results. Use this output to answer questions 9-16 (3 points each).

One-Sample Statistics
	N	Mean	Std. Deviation	Std. Error Mean
RuleVios	69	2.5807	.93149	.11214

One-Sample Test
	Test Value = 5.0
t	df	Sig. (2-tailed)	Mean Difference	95% Confidence Interval of the Difference
Lower	Upper
RuleVios	-21.574	68	.000	-2.41928	-2.6430	-2.1955

1. What is the null hypothesis? _________________________________

1. What is the alternative hypothesis? ____________________________

1. What is the sample sized used in this analysis? ________________________

1. What is the sample's average number of rule violations? ______________________

1. What is the t value in this analysis? _______________________

1. What is the p-value in this analysis? ___________________________

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

1. Do these results indicate that there is a statistically significant difference between the sample mean and the population mean (yes or no)? ______________________

All of the offenders in your sample have completed a cognitive-behavioral rehabilitation program. You are interested in learning if there is a significant difference between the number of arrests in the year before treatment as compared to the number of arrests in the year following treatment. You run a dependent samples t-test (setting alpha at .05) and get the following results. Use this output to answer questions 24-30 (3 points each).

Paired Samples Statistics
	Mean	N	Std. Deviation	Std. Error Mean
Pair 1	pre	8.04	100	2.283	.228
post	6.35	100	2.280	.228

Paired Samples Correlations
	N	Correlation	Sig.
Pair 1	pre & post	100	.785	.000

Paired Samples Test
	Paired Differences	t	Df	Sig. (2-tailed)
Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
Lower	Upper
Pair 1	pre - post	.190	1.495	.150	-.107	.487	2.271	99	.007

1. What is the null hypothesis? ______________________________________________________

1. What was the average number of arrests after treatment? ________________

1. Did the average number of arrests decrease after treatment (yes or no)? ________________

1. What is the t value for this analysis? _____

1. What is the p-value for this analysis? _____________________

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

1. Is there a statistically significant difference in the mean number of arrests before and after treatment? ______________________