The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ✓ H₁: ? Select an answer c. The test statistic ? = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the
sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of
them became repeat offenders. What can be concluded at the a = 0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Select an answer ✓
Ho: ?
H₁: ?
Select an answer ✓
c. The test statistic ? -
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should
g. Thus, the final conclusion is that ...
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so
there is statistically insignificant evidence to conclude that the population proportion of
convicted sex offender drug addicts who become repeat offenders is higher than 15%.
O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so
there is statistically significant evidence to conclude that the population proportion of
convicted sex offender drug addicts who become repeat offenders is higher than 15%.
O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, 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%.
h. Interpret the p-value in the context of the study.
O There is a 5.87% chance that more than 15% 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 15% and if another 320 convicted sex offender drug addicts are surveyed then
there would be a 5.87% chance that more than 18% of the 320 convicted sex offender drug
addicts in the study will become repeat offenders.
There is a 5.87% chance of a Type I error.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer ✓ Ho: ? H₁: ? Select an answer ✓ c. The test statistic ? - d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, 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%. h. Interpret the p-value in the context of the study. O There is a 5.87% chance that more than 15% 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 15% and if another 320 convicted sex offender drug addicts are surveyed then there would be a 5.87% chance that more than 18% of the 320 convicted sex offender drug addicts in the study will become repeat offenders. There is a 5.87% chance of a Type I error.
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