The recidivism rate for convicted sex offenders is 14%. A warden suspects that this percent is lower if the sex offender

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The Recidivism Rate For Convicted Sex Offenders Is 14 A Warden Suspects That This Percent Is Lower If The Sex Offender 1 (240.82 KiB) Viewed 23 times

The recidivism rate for convicted sex offenders is 14%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 387 convicted sex offenders who were also drug addicts, 50 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: pv v 0.14 (please enter a decimal) H: pv > 0.14 (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 ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly lower than 14% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 14%. O The data suggest the population proportion is not significantly lower than 14% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 14%. O The data suggest the population proportion is not significantly lower than 14% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is equal to 14%. h. Interpret the p-value in the context of the study, O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 387 convicted sex offender drug addicts are surveyed then there would be a 27.01% chance of concluding that fewer than 14% of convicted sex offender drug addicts become repeat offenders. There is a 14% chance of a Type I error. There is a 27.01% chance that fewer than 14% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 14% and if another 387 inner city residents are surveyed then there would be a 27.01% chance that fewer than 13% of the 387 convicted sex offender drug addicts in the study 75 f