Contingency Table:
Yes Program
No Program
Total (Row Marginals ?)
Yes Recidivism
14
36
50
No Recidivism
38
12
50
Total (Column Marginals ?)
52
48
100
A researcher is studying the recidivism of offenders who completed a high school diploma program while incarcerated. The researcher wants to know if there is a relationship between offenders completing the diploma program (IV; attributes of "yes" and "no") and the offender being arrested for another crime within 3 months of release from prison (DV, attributes of "yes" and "no"). The sample is 100 offenders (n=100). The results are shown below. Calculate the chi-square statistic to test if there is a relationship between offenders completing the diploma program and the offender being arrested for another crime within 3 months of release from prison. Use an alpha level of 0.05. What are the null and research hypotheses? What decision do you make regarding the null hypothesis?