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The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 400 convicted sex offenders who were also drug addicts, 24 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: p v = (please enter a decimal) H1: p v < (Please enter a decimal) c. The test statistic z v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > va f. Based on this, we should reject g. Thus, the final conclusion is that ... V the null hypothesis. O The data suggest the population proportion is not significantly lower than 8% at a = 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 8%. O The data suggest the population proportion is not significantly lower than 8% at a = 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 lower than 8%. O The data suggest the populaton proportion is significantly lower than 8% at a = 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 lower than 8%. h. Interpret the p-value in the context of the study. O There is a 7.02% chance that fewer than 8% of all convicted sex offender drug addicts become repeat offenders. O There is a 8% chance of a Type I error. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 6% and if another 400 convicted sex offender drug addicts are surveyed then there would be a 7.02% chance of concluding that fewer than 8% of convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 inner city residents are surveyed then there would be a 7.02% chance that fewer than 6% of the 400 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 8%. O f the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 8% and if another 400 convicted sex offender drug addicts are observed then there would be a 5% chance that we would end 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 400 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 lower than 8%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.

The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 400 convicted sex offenders who were also drug addicts, 24 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: p v = (please enter a decimal) H1: p v < (Please enter a decimal) c. The test statistic z v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > va f. Based on this, we should reject g. Thus, the final conclusion is that ... V the null hypothesis. O The data suggest the population proportion is not significantly lower than 8% at a = 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 8%. O The data suggest the population proportion is not significantly lower than 8% at a = 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 lower than 8%. O The data suggest the populaton proportion is significantly lower than 8% at a = 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 lower than 8%. h. Interpret the p-value in the context of the study. O There is a 7.02% chance that fewer than 8% of all convicted sex offender drug addicts become repeat offenders. O There is a 8% chance of a Type I error. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 6% and if another 400 convicted sex offender drug addicts are surveyed then there would be a 7.02% chance of concluding that fewer than 8% of convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 inner city residents are surveyed then there would be a 7.02% chance that fewer than 6% of the 400 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 8%. O f the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 8% and if another 400 convicted sex offender drug addicts are observed then there would be a 5% chance that we would end 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 400 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 lower than 8%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 400 convicted sex offenders who were also drug addicts, 24 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: p v (please enter a decimal) H1: p v (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) = d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > va f. Based on this, we should [reject g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population proportion is not significantly lower than 8% at a = 0.05, so there convicted sex offender drug addicts who become repeat offenders is equal to 8%. statistically significant evidence to conclu that the population proportion O The data suggest the population proportion is not significantly lower than 8% at a = 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 lower than 8%. O The data suggest the populaton proportion is significantly lower than 8% at a = 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 lower than 8%. h. Interpret the p-value in the context of the study. O There is a 7.02% chance that fewer than 8% of all convicted sex offender drug addicts become repeat offenders. O There is a 8% chance of a Type I error. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 6% and if another 400 convicted sex offender drug addicts are surveyed then there would be a 7.02% chance of concluding that fewer than 8% of convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 inner city residents are surveyed then there would be a 7.02% chance that fewer than 6% of the 400 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 8% and if another 400 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 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 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 lower than 8%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 8%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 400 convicted sex offenders who were also drug addicts, 24 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: p v (please enter a decimal) H1: p v (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) = d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > va f. Based on this, we should [reject g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population proportion is not significantly lower than 8% at a = 0.05, so there convicted sex offender drug addicts who become repeat offenders is equal to 8%. statistically significant evidence to conclu that the population proportion O The data suggest the population proportion is not significantly lower than 8% at a = 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 lower than 8%. O The data suggest the populaton proportion is significantly lower than 8% at a = 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 lower than 8%. h. Interpret the p-value in the context of the study. O There is a 7.02% chance that fewer than 8% of all convicted sex offender drug addicts become repeat offenders. O There is a 8% chance of a Type I error. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 6% and if another 400 convicted sex offender drug addicts are surveyed then there would be a 7.02% chance of concluding that fewer than 8% of convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 inner city residents are surveyed then there would be a 7.02% chance that fewer than 6% of the 400 convicted sex offender drug addicts in the study become repeat offenders. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is lower than 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 8% and if another 400 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 8%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 8% and if another 400 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 lower than 8%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
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