Question

The recidivism rate for convicted sex offenders is 10%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 313 convicted sex offenders who were also drug addicts, 28 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: D (please enter a decimal) Haip (Please enter a decimal) c. The test statistic? (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.)

Answer 1

P: The recidivism nate for convicted sex offenders IS n = 313 X-28 a colo Tes that this percent is lower if the sexe offender is also a drug addict wse II- test for a population a For this study, we should proportion Ho: P = 0.10 Ha :p <0.10 ² = x 22 0,089 313 test statistic 0.01) -0.01) Z= ß-P POP = 0.089-0.10 0.10 (1-0.10) 313 0.09 0.000288 313 -0.01) 0.016 957 Zo = -0.6221 & p-vale= P(Z <10)=P(Z <-0,622) P(Z >0.622) P(Z L0.622) 0.7330 using Excel, P-value = 0.2670 Decision Reject Hoit Pvalue <a Here P-value = 0.2670 2 20.10 fail to reject Ho.

conclusion There is not sufficient evidence to support that the recidivism nate for convicted sex offenders is lower.