Question

The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 333 convicted sex offenders who were also drug addicts, 63 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use 2-test for a population proportion b. The null and alternative hypotheses would be: Ho: ? ? (please enter a decimal) H: ? ? (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.) e. The p-value is ? Da f. Based on this, we should Select an answer the null hypothesis.

Answer 1

one are given that spechel_alul of populations_pomportion(Pe) =_159-=_0:15 - 02333 _PE63 = 0.1891. For this study we should use proportion test cz. test). one garple Hypothesis.- Hoo-15 Hose P- Po je P-015 WISHO PyPo je p7015 The test statistie's is 2 = P-po - pogo PE 01891 po= 0.15 DE 333 90= 1- Po = 1-0.15 = 190=0.85 00391 0.000382 1 0.15 0.85 Y 333 value, POZ>Z) - PC 271.918) =o or 85 P-vWue = 0.0228

e P-value > alpha (6) Based at on this we should level of @grificance accept the pull hypothes) I The date suggest the populCHOD_pospoohon__15_DOF Gigricantly higher thap 5% of 1), so there is Statistically insignificory eydenle to condude that the population proportos of convicted sex Flender is equal to 15% 27 If the population proporhon of convicted sex offender chrug addicts are severjed who become repeat of ender is 15%. & it another 333 convicted sex of ender drug addicts are gyovered then there should be 2.26 % chance that more than 199 o f 333 conxicted sex offender doug addich is the study will beone repeat oflendios There is convicted become to choose that prapool op of all og offender dany addids who fearse repeat offenders is higher than 1st