The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 395 convicted sex offenders who were also drug addicts, 51 of them became repeat offenders. What can be concluded at the = 0.01 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be: Ho: ? p Select an answer = > < (please enter a decimal) H₁: ? p Select an answer = < > (Please enter a decimal)
3. The test statistic ? t z = (please show your answer to 3 decimal places.)
4. The p-value = (Please show your answer to 4 decimal places.)
5. The p-value is ? >
6. Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
7. Thus, the final conclusion is that ...
8. Interpret the p-value in the context of the study.
9. Interpret the level of significance in the context of the study.

• If the population proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 395 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 12%.
• If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 12% and if another 395 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 12%.
• There is a 1% chance that Lizard People aka "Reptilians" are running the world.
• There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 12%.

• There is a 28.86% chance that more than 12% of all convicted sex offender drug addicts become repeat offenders.
• There is a 28.86% chance of a Type I error.
• If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 395 convicted sex offender drug addicts are observed then there would be a 28.86% chance of concluding that more than 12% of all convicted sex offender drug addicts become repeat offenders.
• If the population proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 395 convicted sex offender drug addicts are surveyed then there would be a 28.86% chance that more than 13% of the 395 convicted sex offender drug addicts in the study will become repeat offenders.

• The data suggest the population proportion is not significantly higher than 12% at = 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 12%.
• The data suggest the populaton proportion is significantly higher than 12% at = 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 12%.
• The data suggest the population proportion is not significantly higher than 12% at = 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 12%.