HELP ON C, D, and E. Please show me how to get to the answer on a T184 calculator as well as paper. The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is lower...

HELP ON C, D, and E. Please show me how to get to the answer on a T184 calculator as well as paper.

The recidivism rate for convicted sex offenders is 15%.  A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 397 convicted sex offenders who were also drug addicts, 44 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance?

1. For this study, we should use


2. The null and alternative hypotheses would be:
    Ho:            (please enter a decimal)
    H₁:            (Please enter a decimal)

1. The test statistic     =  (please show your answer to 3 decimal places.)


2. The p-value =  (Please show your answer to 4 decimal places.)


3. The p-value is     αα


4. Based on this, we should      the null hypothesis.


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

   
   
   • The data suggest the populaton proportion issignificantly lower than 15% at αα = 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 15%.
   
   
   • The data suggest the population proportion is notsignificantly lower than 15% at αα = 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 15%.
   
   
   • The data suggest the population proportion is notsignificantly lower than 15% at αα = 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 15%.
   
   

   
   
   
   


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

   
   
   • If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 397 convicted sex offender drug addicts are surveyed then there would be a 1.44% chance of concluding that fewer than 15% of convicted sex offender drug addicts become repeat offenders.
   
   
   •  There is a 15% chance of a Type I error.
   
   
   • If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 397 inner city residents are surveyed then there would be a 1.44% chance that fewer than 11% of the 397 convicted sex offender drug addicts in the study become repeat offenders.
   
   
   • There is a 1.44% chance that fewer than 15% of all convicted sex offender drug addicts become repeat offenders.
   
   

   
   
   
   


7. 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 lower than 15% and if another 397 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 15%.
   
   
   • There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 15%.
   
   
   • If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 397 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 15%.