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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The recidivism rate for convicted sex offenders is 14%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 324 convicted sex offenders who were also drug addicts, 32 of them became repeat offenders. What can be concluded at the αα = 0.05 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 14% at αα = 0.05, 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 14%.
- The data suggest the population proportion is not significantly different from 14% at αα = 0.05, 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 14%.
- The data suggest the population proportion is not significantly different from 14% at αα = 0.05, 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 14%.
- 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 14% and if another 324 convicted sex offender drug addicts are observed then there would be a 3.24% chance that either fewer than 10% of the 324 convicted sex offender drug addicts in the study become repeat offenders or more than 18% of the 324 convicted sex offender drug addicts in the study become repeat offenders.
- There is a 3.24% chance of a Type I error.
- If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 10% and if another 324 convicted sex offender drug addicts are observed, then there would be a 3.24% chance that we would conclude either fewer than 14% of all convicted sex offender drug addicts become repeat offenders or more than 14% of all convicted sex offender drug addicts become repeat offenders.
- There is a 3.24% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 14%.
- Interpret the level of significance in the context of the study.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 14% and if another 324 convicted sex offender drug addicts are observed then there would be a 5% 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 14%.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is 14% and if another 324 convicted sex offender drug addicts are observed, then there would be a 5% 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 14%.
- There is a 5% chance that Lizard People aka "Reptilians" are running the world.
- There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 14%.
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