The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 386 convicted sex offenders who were also drug addicts, 46 of them became repeat offenders. What can be concluded at the αα = 0.10 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 populaton proportion is significantly different from 15% at αα = 0.10, 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 15%.The data suggest the population proportion is not significantly different from 15% at αα = 0.10, 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 15%.The data suggest the population proportion is not significantly different from 15% at αα = 0.10, 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 15%.Interpret the p-value in the context of the study.If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 8.98% chance that either fewer than 12% of the 386 convicted sex offender drug addicts in the study become repeat offenders or more than 18% of the 386 convicted sex offender drug addicts in the study become repeat offenders.If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 386 convicted sex offender drug addicts are observed, then there would be a 8.98% chance that we would conclude either fewer than 15% of all convicted sex offender drug addicts become repeat offenders or more than 15% of all convicted sex offender drug addicts become repeat offenders.There is a 8.98% chance of a Type I error.There is a 8.98% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 15%.Interpret the level of significance in the context of the study.There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 15%.If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 10% 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 15%.If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed, then there would be a 10% 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 15%.There is a 10% chance that Lizard People aka "Reptilians" are running the world.

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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 15%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 386 convicted sex offenders who were also drug addicts, 46 of them became repeat offenders. What can be concluded at the αα = 0.10 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 αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly different from 15% at αα = 0.10, 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 15%.
- The data suggest the population proportion is not significantly different from 15% at αα = 0.10, 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 15%.
- The data suggest the population proportion is not significantly different from 15% at αα = 0.10, 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 15%.
Interpret the p-value in the context of the study.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 8.98% chance that either fewer than 12% of the 386 convicted sex offender drug addicts in the study become repeat offenders or more than 18% of the 386 convicted sex offender drug addicts in the study become repeat offenders.
- If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 12% and if another 386 convicted sex offender drug addicts are observed, then there would be a 8.98% chance that we would conclude either fewer than 15% of all convicted sex offender drug addicts become repeat offenders or more than 15% of all convicted sex offender drug addicts become repeat offenders.
- There is a 8.98% chance of a Type I error.
- There is a 8.98% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 15%.
Interpret the level of significance in the context of the study.
- There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 15%.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 15% and if another 386 convicted sex offender drug addicts are observed then there would be a 10% 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 15%.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is 15% and if another 386 convicted sex offender drug addicts are observed, then there would be a 10% 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 15%.
- There is a 10% chance that Lizard People aka "Reptilians" are running the world.

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