The recidivism rate for convicted sex offenders is 11%.  A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 26 of them became repeat offenders. What can be concluded at the αα = 0.01 level of significance? For this study, we should use    Correct   The null and alternative hypotheses would be:      Ho:    Correct      Correct Correct (please enter a decimal)           H1:    Correct      Incorrect Correct (Please enter a decimal) p <   The test statistic    Correct =  (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 population proportion is not significantly lower than 11% at αα = 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 11%. The data suggest the population proportion is not significantly lower than 11% at αα = 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 11%. The data suggest the populaton proportion is significantly lower than 11% at αα = 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 11%. 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 8% and if another 321 convicted sex offender drug addicts are surveyed then there would be a 4.84% chance of concluding that fewer than 11% of convicted sex offender drug addicts become repeat offenders.  There is a 11% chance of a Type I error. There is a 4.84% chance that fewer than 11% 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 11% and if another 321 inner city residents are surveyed then there would be a 4.84% chance that fewer than 8% of the 321 convicted sex offender drug addicts in the study become repeat offenders. Interpret the level of significance in the context of the study. There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 11%. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 321 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 11%. If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 11% and if another 321 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 11%. There is a 1% chance that Lizard People aka "Reptilians" are running the world.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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The recidivism rate for convicted sex offenders is 11%.  A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 26 of them became repeat offenders. What can be concluded at the αα = 0.01 level of significance?

    1. For this study, we should use    Correct
 
  1. The null and alternative hypotheses would be:    
     Ho:    Correct      Correct Correct (please enter a decimal)
     
     
     
      
     H1:    Correct      Incorrect Correct (Please enter a decimal)
    p
    <
     
    1. The test statistic    Correct =  (please show your answer to 3 decimal places.)
 
  1. The p-value =  (Please show your answer to 4 decimal places.)
  2. The p-value is     αα
  3. Based on this, we should      the null hypothesis.
  4. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly lower than 11% at αα = 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 11%.
    • The data suggest the population proportion is not significantly lower than 11% at αα = 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 11%.
    • The data suggest the populaton proportion is significantly lower than 11% at αα = 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 11%.
  5. 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 8% and if another 321 convicted sex offender drug addicts are surveyed then there would be a 4.84% chance of concluding that fewer than 11% of convicted sex offender drug addicts become repeat offenders.
    •  There is a 11% chance of a Type I error.
    • There is a 4.84% chance that fewer than 11% 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 11% and if another 321 inner city residents are surveyed then there would be a 4.84% chance that fewer than 8% of the 321 convicted sex offender drug addicts in the study become repeat offenders.
  6. Interpret the level of significance in the context of the study.
    • There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 11%.
    • If the population proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 321 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 11%.
    • If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 11% and if another 321 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 11%.
    • There is a 1% chance that Lizard People aka "Reptilians" are running the world.
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