The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 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 v 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 ? v a f. Based on this, we should Select an answer ▼ the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% 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 different from 12%. O The data suggest the population proportion is not significantly different from 12% 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 12%. O The data suggest the populaton proportion is significantly different from 12% 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 different from 12%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if
the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 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 V
b. The null and alternative hypotheses would be:
Ho: ? v
Select an answer
(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 ? V a
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 population proportion is not significantly different from 12% 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 different from 12%.
O The data suggest the population proportion is not significantly different from 12% at = 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 12%.
O The data suggest the populaton proportion is significantly different from 12% 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 different from 12%.
h. Interpret the p-value in the context of the study.
O If the sample proportion of convicted sex offender drug addicts who become repeat offenders
is 15% and if another 322 convicted sex offender drug addicts are observed then there would
be a 10.84% chance that we would conclude either fewer than 12% of all convicted sex
offender drug addicts become repeat offenders or more than 12% 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 12% and if another 322 convicted sex offender drug addicts are observed, then
there would be a 10.84% chance that either more than 15% of the 322 convicted sex offender
drug addicts in the study become repeat offenders or fewer than 9% of the 322 convicted sex
offender drug addicts in the study become repeat offenders.
O There is a 10.84% chance that the percent of all convicted sex offender drug addicts who
become repeat offenders differs from 12%.
O There is a 10.84% chance of a Type I error.
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 different from 12% and if another 322 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
12%.
O There is a 1% chance that the proportion of all convicted sex offender drug addicts who
become repeat offenders is different from 12%.
O There is a 1% chance that Lizard People aka "Reptilians" are running the world.
O If the population proportion of convicted sex offender drug addicts who become repeat
offenders is 12% and if another 322 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 different from 12%.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 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 V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (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 ? V a 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 population proportion is not significantly different from 12% 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 different from 12%. O The data suggest the population proportion is not significantly different from 12% at = 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 12%. O The data suggest the populaton proportion is significantly different from 12% 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 different from 12%. h. Interpret the p-value in the context of the study. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 322 convicted sex offender drug addicts are observed then there would be a 10.84% chance that we would conclude either fewer than 12% of all convicted sex offender drug addicts become repeat offenders or more than 12% 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 12% and if another 322 convicted sex offender drug addicts are observed, then there would be a 10.84% chance that either more than 15% of the 322 convicted sex offender drug addicts in the study become repeat offenders or fewer than 9% of the 322 convicted sex offender drug addicts in the study become repeat offenders. O There is a 10.84% chance that the percent of all convicted sex offender drug addicts who become repeat offenders differs from 12%. O There is a 10.84% chance of a Type I error. 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 different from 12% and if another 322 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 12%. O There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 12%. O There is a 1% chance that Lizard People aka "Reptilians" are running the world. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 322 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 different from 12%.
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