ࡱ> KMJy hbjbj =4{{h||44&RRRRR---v&x&x&x&x&x&x&$(+^&--&RR&.RRv&v&$h%R :%b&&0&% ,| , % ,%-^L[A---&&R---& ,---------| : San Jose State University School of Social Work ScWk 242 Lab #1 Chi-Square Test of Independence and Cross-Tabulations Answer Key Research Scenario You are conducting an evaluation of a vocational rehabilitation program for recently-paroled prison inmates. The primary program goal is to promote full-time employment among program participants. The program enrolls the first 30 people who are referred to the program and the program lasts for a total of 6 months. There is also a waiting list of 30 people who will enroll after the first group completes the program. After the first group of 30 complete the program (the intervention group), you decide to compare their level of employment with the 30 on the waiting list (the comparison group). In order to collect data on employment levels, the probation officers for each of the 60 people in the sample (those in both the intervention and comparison groups) completes a short survey on the status of each client in the sample. The survey contains demographic questions and asks the probation officer to classify the employment level of the client as: None, Part-time, or Full-time. A hardcopy of the survey is mailed to each probation officer with a client in the sample and a stamped, addressed envelope is provided for return of the survey. Using an 8-Step Process for Hypothesis Testing Once you have your output, use the 8-step process for hypothesis testing to describe and interpret your findings. Please refer to the research scenario and your SPSS output to answer the questions. Identify the independent variable and the level of measurement The independent variable is the vocational rehabilitation program and the level of measurement is categorical/nominal (2 categories: intervention group or comparison group). Identify the dependent variable and the level of measurement The dependent variable is employment, and the level of measurement is categorical/ordinal (3 categories: None, Part-time or Full-time). State the null hypothesis There is no relationship between participation in the vocational rehabilitation program and employment (could also say something like, there is no impact, no effect etc). State the alternative hypothesis There is a relationship between participation in the vocational rehabilitation program and employment (there is an impact, an effect etc.). Identify appropriate statistical test and alpha level The appropriate statistical test is the chi-square because both the independent and the dependent variables are categorical The alpha level is set at .05 (expressed as: ( = .05) Present table of results (SPSS output)    Describe results and decision to accept or reject the null hypothesis When reporting results for the Chi-Square test, you will report 4 things: The degrees of freedom The sample size The Chi-Square test statistic: This is the Pearson Chi-Square The p value: This is the Asymp. Sig (2-sided) This is APA format for reporting Chi-Square results: X2 = (2, N = 59) =11.748, p < .003**, Since the p value of less than .003 is less than the alpha of .05, we will reject the null hypothesis and conclude that there is a relationship between participation in the vocational rehabilitation program and employment. ***Remember that the p value can never actually be 0. SPSS rounds the p value to three decimal points, so the p value is actually something less than, .001. This is typically expressed as p < .001. Provide a discussion of these results. Include: Statistical significance Summary of the direction of the relationship Meaning and implications of the results Limitations/areas for future research Results of the Chi-Square test indicated a statistically significant relationship between participation in the vocational rehabilitation program and employment outcomes among recently paroled inmates. Specifically, a higher rate of full-time employment was found within the intervention group: 60.0%(n=18) of participants in the intervention group were employed full-time after 6 months of participation in the program, compared to 20.7% (n=6) of participants who were on the waiting-list and did not participate in the program. These results indicate that the vocational rehabilitation program may be effective at promoting full-time employment among recently paroled inmates. However, there are limitations to this study; because no random assignment was used, it is possible that differences between the groups were due to pre-existing differences among the participants (e.g. selection bias). Future studies should include a matched comparison group or, if possible, a control group. 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