The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 328 convicted sex offenders who were also drug addicts, 36 of them became repeat offenders. What can be concluded at the = 0.10 level of significance?

a. For this study, we should use Select an answer (z-test for a population proportion or, t-test for a population mean)

b. The null and alternative hypotheses would be: Ho: select ( , p) Select an answer (>, =, or <)? .................... (please enter a decimal) H₁: select( , p) Select an answer (<, =, or >)? ................. (Please enter a decimal)

c.The test statistic ( t or z) ? =................ (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 ( > or ) ?

f. Based on this, we should Select an answer (accept, fail to reject or, reject the null hypothesis.)

g. Thus, the final conclusion is that ...

1. The data suggest the populaton proportion is significantly lower than 13% 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 lower than 13%.

2. The data suggest the population proportion is not significantly lower than 13% 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 13%.

3. The data suggest the population proportion is not significantly lower than 13% 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 lower than 13%.

h. Interpret the p-value in the context of the study.

1. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 328 inner city residents are surveyed then there would be a 13.78% chance that fewer than 11% of the 328 convicted sex offender drug addicts in the study become repeat offenders.

2. There is a 13.78% chance that fewer than 13% of all convicted sex offender drug addicts become repeat offenders.

3. There is a 13% chance of a Type I error.

4. If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 328 convicted sex offender drug addicts are surveyed then there would be a 13.78% chance of concluding that fewer than 13% of convicted sex offender drug addicts become repeat offenders

i.Interpret the level of significance in the context of the study.

1. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 328 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 lower than 13%.

2. If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 13% and if another 328 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 13%.

3. There is a 10% chance that Lizard People aka "Reptilians" are running the world.

4. There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 13%.