Question

3. A study was done by the Ministry of Prision to test the effect of income support on the recidivism rate among ex-convicts. 484 newly relesed prisoners were (randomly)assigned to the treatment group - they were given a small monthly payments over the course of their first year out. 324 newly released prisoners were (randomly) assigned to the control group - they recieved no monthly payments.

Within the first year of release, 46.5% of the prisoners in the treatment group and 49.2% of the prisoners in the control group were rearessted. Did the income support help reduce the recidivism rate? (use a test of significance to answer this question.)

a.) State the null and alternative hypotheses for this test in terms of the appropriate parameters.

b.) Find the test statistics and the p-value , and show how you find them.

c.) What do you conclude?

Answer 1

For Treatment Group:

For Control Group:

Pooled Proportion,

a) Null and Alternative Hypotheses :

b) Test Statistics:

P-value:

p = 0.2257

c) Conclusion:

If p > , then do not reject the null hypothesis. There is not enough evidence to support the claim that support help reduce the recidivism rate.

But if p , then reject the null hypothesis. There is enough evidence to support the claim that support help reduce the recidivism rate.

n1484, p?- 0.465