The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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: ? v Select an answer (please enter a decimal) H1: ? v Select an answer (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.)

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The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the
sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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: ? v Select an answer V
(please enter a decimal)
H1: ? v Select an answer v
(Please enter a decimal)
c. The test statistic ? v
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? va
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton proportion is significantly higher than 9% 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 9%.
The data suggest the population proportion is not significantly higher than 9% 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 9%.
The data suggest the population proportion is not significantly higher than 9% 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 9%.
h. Interpret the p-value in the context of the study.
O There is a 0.34999999999999% chance of a Type I error.
O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug
addicts become repeat offenders.
O If the sample proportion of convicted sex offender drug addicts who become repeat offenders
is 13% and if another 396 convicted sex offender drug addicts are observed then there would
be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender
drug addicts become repeat offenders.
O If the population proportion of convicted sex offender drug addicts who become repeat
offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there
would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender
drug addicts in the study will become repeat offenders.
i. Interpret the level of significance in the context of the study.
O If the population proportion of convicted sex offender drug addicts who become repeat
offenders is higher than 9% and if another 396 convicted sex offender drug addicts are
observed then there would be a 5% 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
9%.
O There is a 5% chance that the proportion of all convicted sex offender drug addicts who
become repeat offenders is higher than 9%.
O If the population proportion of convicted sex offender drug addicts who become repeat
offenders is 9% and if another 396 convicted sex offender drug addicts are observed, then
there would be a 5% chance that we would end up falsely concluding that the proportion of all
convicted sex offender drug addicts who become repeat offenders is higher than 9%.
O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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: ? v Select an answer V (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% 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 9%. The data suggest the population proportion is not significantly higher than 9% 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 9%. The data suggest the population proportion is not significantly higher than 9% 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 9%. h. Interpret the p-value in the context of the study. O There is a 0.34999999999999% chance of a Type I error. O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 396 convicted sex offender drug addicts are observed then there would be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 9% and if another 396 convicted sex offender drug addicts are observed then there would be a 5% 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 9%. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are observed, then there would be a 5% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
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