Please help solve letters G-I , thank you
Transcribed Image Text: 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 =
0.11
(please enter a decimal)
H₁: pv #
(Please enter a decimal)
v 0.11
c. The test statistic z =
d. The p-value = 0.181
e. The p-value is
α
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
2.364
(please show your answer to 3 decimal places.)
(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.
O 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.
Transcribed Image Text: or
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c. The test statistic z = 2.364 (please show your answer to 3 decimal places.)
d. The p-value = 0.181
(Please show your answer to 4 decimal places.)
e. The p-value is
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 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.
O There is a 0.9% chance of a Type I error.
OIf 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.
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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