The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 332 convicted sex offenders who were also drug addicts, 50 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = (please enter a decimal) H₁: p= (Please enter a decimal) c. The test statistic d. The p-value = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

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The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is higher if the
sex offender is also a drug addict. Of the 332 convicted sex offenders who were also drug addicts, 50 of
them became repeat offenders. What can be concluded at the a = 0.01 level of significance?
a. For this study, we should use [z-test for a population proportion
b. The null and alternative hypotheses would be:
Ho: pv =
H₁: pv
=
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
c. The test statistic z =
d. The p-value =
e. The p-value is
va
f. Based on this, we should [Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
O The data suggest the population proportion is not significantly higher than 11% at a = 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%.
O The data suggest the population proportion is not significantly higher than 11% at a = 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 higher than 11%.
O The data suggest the populaton proportion is significantly higher than 11% at a = 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 higher than 11%.
h. Interpret the p-value in the context of the study.
O There is a 0.9% chance that more than 11% of all convicted sex offender drug addicts become
repeat offenders.
There is a 0.9% chance of a Type I error.
O If the sample proportion of convicted sex offender drug addicts who become repeat offenders
is 15% and if another 332 convicted sex offender drug addicts are observed then there would
be a 0.9% chance of concluding that more than 11% 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 11% and if another 332 convicted sex offender drug addicts are surveyed then
there would be a 0.9% chance that more than 15% of the 332 convicted sex offender drug
addicts in the study will become repeat offenders.
i. Interpret the level of significance in the context of the study.
OIf the population proportion of convicted sex offender drug addicts who become repeat
Transcribed Image Text:Question Z The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 332 convicted sex offenders who were also drug addicts, 50 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = H₁: pv = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic z = d. The p-value = e. The p-value is va f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly higher than 11% at a = 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%. O The data suggest the population proportion is not significantly higher than 11% at a = 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 higher than 11%. O The data suggest the populaton proportion is significantly higher than 11% at a = 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 higher than 11%. h. Interpret the p-value in the context of the study. O There is a 0.9% chance that more than 11% of all convicted sex offender drug addicts become repeat offenders. There is a 0.9% chance of a Type I error. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 332 convicted sex offender drug addicts are observed then there would be a 0.9% chance of concluding that more than 11% 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 11% and if another 332 convicted sex offender drug addicts are surveyed then there would be a 0.9% chance that more than 15% of the 332 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. OIf the population proportion of convicted sex offender drug addicts who become repeat
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 11% and if another 332 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%.
O If the population proportion of convicted sex offender drug addicts who become repeat
offenders is 11% and if another 332 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 higher than 11%.
O There is a 1% chance that the proportion of all convicted sex offender drug addicts who
become repeat offenders is higher than 11%.
O There is a 1% chance that Lizard People aka "Reptilians" are running the world.
Transcribed Image Text: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 11% and if another 332 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%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 332 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 higher than 11%. O There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 11%. O There is a 1% chance that Lizard People aka "Reptilians" are running the world.
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