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 353 convicted sex offenders who were also drug addicts, 39 of them became repeat offenders. What can be concluded at the

= 0.01 level of significance?

1. For this study, we should use
2. t-test for a population mean

1. z-test for a population proportion

1. The null and alternative hypotheses would be:
2. Ho:?
6. p
7. Select an answer
9. <
11. =
13. >
16. (please enter a decimal)
17. H₁:?
19. p
22. Select an answer
26. >
28. =
30. <
31. (Please enter a decimal)
32. The test statistic?
34. t
36. z
37. =(please show your answer to 3 decimal places.)
38. The p-value =(Please show your answer to 4 decimal places.)
39. The p-value is?
43. >
46. Based on this, we shouldSelect an answer
48. fail to reject
50. reject
52. accept
53. the null hypothesis.
54. Thus, the final conclusion is that ...

• The data suggest the populaton proportion issignificantlylower than 14% 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 lower than 14%.
• The data suggest the population proportion is notsignificantlylower than 14% 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 14%.
• The data suggest the population proportion is notsignificantlylower than 14% 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 lower than 14%.

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

• There is a 5.5% chance that fewer than 14% 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 14% and if another 353 inner city residents are surveyed then there would be a 5.5% chance that fewer than 11% of the 353 convicted sex offender drug addicts in the study become repeat offenders.
• If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 353 convicted sex offender drug addicts are surveyed then there would be a 5.5% 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.

1. 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 14% and if another 353 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 lower than 14%.
• 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 lower than 14% and if another 353 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 14%.
• There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 14%.