Progress saved Question 1 5 pts 9 1 99 0 Details 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 343 convicted sex offenders who were also drug addicts, 62 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer (please enter a decimal) H1: 2 Select an answer (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 |the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 15% 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 15%. The data suggest the population proportion is not significantly higher than 15% 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 higher than 15%. The data suggest the populaton proportion is significantly higher than 15% 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 higher than 15%. h. Interpret the p-value in the context of the study. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 343 convicted sex offender drug addicts are surveyed then there would be a 5.53% chance that more than 18% of the 343 convicted sex offender drug addicts in the study will become repeat offenders. There is a 5.53% chance that more than 15% of all convicted sex offender drug addicts become repeat offenders. If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 18% and if another 343 convicted sex offender drug addicts are observed then there would be a 5.53% chance of concluding that more than 15% of all convicted sex offender drug addicts become repeat offenders. There is a 5.53% chance of a Type | error. i. Interpret the level of significance in the context of the study. There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 15%. There is a 1% chance that Lizard People aka "Reptilians" are running the world. If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15% and if another 343 convicted sex offender drug addicts are observed then there would be a 1% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is equal to 15%. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 343 convicted sex offender drug addicts are observed, then there would be a 1% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 15%
