# Project #5167 - Statistics

Question #1.

You are interested in determining whether men released from prison on parole are less likely to recidivate if they have a job when released. You gather data from 340 parolees, determining whether they had a job upon release from prison (yes/no), and whether they were later returned to prison for a parole violation (yes/no). Use the table presented below to conduct a test of the hypothesis that there exists a relationship between employment and parole violation. Use an alpha-level of .05 and be sure to include all five steps of the hypothesis test. After you are done with the test, compute Phi, is the relationship between employment and parole violations strong, or is it weak?

 Job on Release? Parole Violation? No Yes Total No 68 97 165 Yes 112 63 175 Total 180 160 340

Question #2

Criminologists have long thought that living in a “broken home” (i.e., non-two-parent home) is a strong risk factor for delinquency. The following cross-tabulation shows the joint distribution of family structure with self-report delinquent status. Use this table to conduct a test of whether a relationship exists between family structure and delinquency. Use an alpha of .05 and be sure to include all five steps of the hypothesis test.

 Family Structure Delinquent? Two Parents Single Mother No Mother Figure Total No 2894 1160 346 4400 Yes 2673 1352 469 4494 Total 5567 2512 815 8894

Question #3

Time spent on homework is recognized as a strong correlate of juvenile problem behavior. The data below provide self-report substance use for a random sample of 8 youths who spend higher-than-average time on homework, and an independent random sample of 6 youths who spend lower-than-average time on homework. Using α = .10, test the hypothesis that spending more time on homework is associated with lower problem behavior. Show all five steps of your hypothesis test.

 Higher-than-Average Time on Homework Lower-than-Average Time on Homework 2 4 1 5 3 6 2 5 1 6 3 4 3 1

Question #4.

You are interested in determining whether a Head Start program designed for problem youths is successful in reducing conduct disorder. You draw a sample of 7 youths who attended Head Start, and determine the number of incidents of conduct disorder engaged in before attending the program, and then again after the program terminates. Conduct a test of the hypothesis that Head Start reduces conduct disorder, using α = .05.

Person:                                     1  2  3  4  5  6  7

Pre-program incidents:            5  4  6  2  5  3  1

Post-program incidents:           3  1  4  0  5  1  2

Question #5.

You are interested in investigating whether having delinquent friends is associated with one’s own delinquent behavior. You gather data from a sample of 24 high-school youths, asking them the proportion of their friends that engage in delinquent behavior (with response categories “none,” “some,” or “most”), as well as the number of times that they themselves have engaged in delinquency. Test the hypothesis that there is a relationship between delinquent friends and one’s own delinquent behavior (use α = .01). Afterward, compute both eta square () and epsilon square (). How much variance can the number of delinquent friends explain in the number of self-reported delinquent acts? Would you consider it large, moderate, or small?

None: 1  1  3  2  3  4  2  3

Some: 3  4  3  5  5  6  3  5

Most: 6  7  10  5  5  8  10  12

 Subject Mathematics Due By (Pacific Time) 05/02/2013 02:00 pm
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