The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 371 convicted sex offenders who were also drug addicts, 45 of them became repeat offenders. What can be concluded at the αα= 0.01 level of significance?For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 13% at αα= 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 lower than 13%.The data suggest the population proportion is not significantly lower than 13% at αα= 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 13%.The data suggest the populaton proportion is significantly lower than 13% at αα= 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 lower than 13%.Interpret the p-value in the context of the study. There is a 13% chance of a Type I error.There is a 30.9% chance that fewer than 13% of all convicted sex offender drug addicts become repeat offenders.If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 371 convicted sex offender drug addicts are surveyed then there would be a 30.9% chance of concluding that fewer than 13% of convicted sex offender drug addicts become repeat offenders.If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 371 inner city residents are surveyed then there would be a 30.9% chance that fewer than 12% of the 371 convicted sex offender drug addicts in the study become repeat offenders.Interpret the level of significance in the context of the study. There is a 1% chance that Lizard People aka "Reptilians" are running the world.If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 13% and if another 371 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 13%.If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 371 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 lower than 13%.There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 13%.
The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 371 convicted sex offenders who were also drug addicts, 45 of them became repeat offenders. What can be concluded at the
α
α
= 0.01 level of significance?
For this study, we should use
The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H1: (Please enter a decimal)
The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is
α
α
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the population proportion is not significantly lower than 13% at
α
α
= 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 lower than 13%.
The data suggest the population proportion is not significantly lower than 13% at
α
α
= 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 13%.
The data suggest the populaton proportion is significantly lower than 13% at
α
α
= 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 lower than 13%.
Interpret the p-value in the context of the study.
There is a 13% chance of a Type I error.
There is a 30.9% chance that fewer than 13% of all convicted sex offender drug addicts become repeat offenders.
If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 371 convicted sex offender drug addicts are surveyed then there would be a 30.9% chance of concluding that fewer than 13% of convicted sex offender drug addicts become repeat offenders.
If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 371 inner city residents are surveyed then there would be a 30.9% chance that fewer than 12% of the 371 convicted sex offender drug addicts in the study become repeat offenders.
Interpret the level of significance in the context of the study.
There is a 1% chance that Lizard People aka "Reptilians" are running the world.
If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 13% and if another 371 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 13%.
If the population proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 371 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 lower than 13%.
There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 13%.
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