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The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 22 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance?

The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 22 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 22 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance?
Transcribed Image Text:The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 321 convicted sex offenders who were also drug addicts, 22 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance?
g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 8% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of %3D convicted sex offender drug addicts who become repeat offenders is different from 8%. The data suggest the population proportion is not significantly different from 8% 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 8%. %3D The data suggest the population proportion is 0.01, not significantly different from 8% at a = 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 8%. h. Interpret the p-value in the context of the study. If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 7% and if another 321 convicted sex offender drug addicts are observed, then there would be a 44.9% chance that we would conclude either fewer than 8% of all convicted sex offender drug addicts become repeat offenders or more than 8% of all convicted sex offender drug addicts become repeat offenders. There is a 44.9% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 8%. There is a 44.9% chance of a Type I error. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 321 convicted sex offender drug addicts are observed then there would be a 44.9% chance that either fewer than 7% of the 321 convicted sex offender drug addicts in the study become repeat offenders or more than 9% of the 321 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 8% and if another 321 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 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 321 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 8%. There is a 1% chance that Lizard People aka "Reptilians" are running the world.
Transcribed Image Text:g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 8% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of %3D convicted sex offender drug addicts who become repeat offenders is different from 8%. The data suggest the population proportion is not significantly different from 8% 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 8%. %3D The data suggest the population proportion is 0.01, not significantly different from 8% at a = 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 8%. h. Interpret the p-value in the context of the study. If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 7% and if another 321 convicted sex offender drug addicts are observed, then there would be a 44.9% chance that we would conclude either fewer than 8% of all convicted sex offender drug addicts become repeat offenders or more than 8% of all convicted sex offender drug addicts become repeat offenders. There is a 44.9% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 8%. There is a 44.9% chance of a Type I error. If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 321 convicted sex offender drug addicts are observed then there would be a 44.9% chance that either fewer than 7% of the 321 convicted sex offender drug addicts in the study become repeat offenders or more than 9% of the 321 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. There is a 1% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 8% and if another 321 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 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 321 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 8%. There is a 1% chance that Lizard People aka "Reptilians" are running the world.
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