The recidivism rate for convicted sex offenders is 15%.  A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 386 convicted sex offenders who were also drug addicts, 46 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance? For this study, we should use     The null and alternative hypotheses would be:      Ho:            (please enter a decimal)     H1:            (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 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 different from 15%. The data suggest the population proportion is not significantly different from 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 not significantly different from 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 different from 15%. Interpret the p-value in the context of the study. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 8.98% chance that either fewer than 12% of the 386 convicted sex offender drug addicts in the study become repeat offenders or more than 18% of the 386 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 12% and if another 386 convicted sex offender drug addicts are observed, then there would be a 8.98% chance that we would conclude either fewer than 15% of all convicted sex offender drug addicts become repeat offenders or more than 15% of all convicted sex offender drug addicts become repeat offenders. There is a 8.98% chance of a Type I error. There is a 8.98% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 15%. Interpret the level of significance in the context of the study. There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 15%. If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 15% and if another 386 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%. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 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 15%. There is a 10% chance that Lizard People aka "Reptilians" are running the world.

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 I need to have these checked if you could help out it is well appreciated as I am trying to understand these problems.

The recidivism rate for convicted sex offenders is 15%.  A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 386 convicted sex offenders who were also drug addicts, 46 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 is significantly different from 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 different from 15%.
    • The data suggest the population proportion is not significantly different from 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 not significantly different from 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 different from 15%.
  6. Interpret the p-value in the context of the study.
    • If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 8.98% chance that either fewer than 12% of the 386 convicted sex offender drug addicts in the study become repeat offenders or more than 18% of the 386 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 12% and if another 386 convicted sex offender drug addicts are observed, then there would be a 8.98% chance that we would conclude either fewer than 15% of all convicted sex offender drug addicts become repeat offenders or more than 15% of all convicted sex offender drug addicts become repeat offenders.
    • There is a 8.98% chance of a Type I error.
    • There is a 8.98% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 15%.
  7. Interpret the level of significance in the context of the study.
    • There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 15%.
    • If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 15% and if another 386 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%.
    • If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 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 15%.
    • There is a 10% chance that Lizard People aka "Reptilians" are running the world.
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