The recidivism rate for convicted sex offenders is 14%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 341 convicted sex offenders who were also drug addicts, 27 of them became repeat offenders. What can be concluded at the = 0.10 level of significance?

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
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.
   • There is a 10% 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 14% and if another 341 convicted sex offender drug addicts are observed, then there would be a 10% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 14%.
   • If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 14% and if another 341 convicted sex offender drug addicts are observed then there would be a 10% 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 14%.
   • There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 14%.

• There is a 0.12% chance of a Type I error.
• If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 341 convicted sex offender drug addicts are observed, then there would be a 0.12% chance that we would conclude either fewer than 14% of all convicted sex offender drug addicts become repeat offenders or more than 14% of all convicted sex offender drug addicts become repeat offenders.
• There is a 0.12% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 14%.
• If the population proportion of convicted sex offender drug addicts who become repeat offenders is 14% and if another 341 convicted sex offender drug addicts are observed then there would be a 0.12% chance that either fewer than 8% of the 341 convicted sex offender drug addicts in the study become repeat offenders or more than 20% of the 341 convicted sex offender drug addicts in the study become repeat offenders.

• The data suggest the populaton proportion is significantly different from 14% at = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 14%.
• The data suggest the population proportion is not significantly different from 14% at = 0.10, 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%.
• The data suggest the population proportion is not significantly different from 14% at = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 14%.