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The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: 0,09 (please enter a decimal) H;: 0.09 (Please enter a decimal) c. The test statistic ? V= 2.697 (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 ? V a f. Based on this, we should (Select an answer V the null hypothesis. a Thus the final conclusion is that

The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: 0,09 (please enter a decimal) H;: 0.09 (Please enter a decimal) c. The test statistic ? V= 2.697 (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 ? V a f. Based on this, we should (Select an answer V the null hypothesis. a Thus the final conclusion is that

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 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: р 0.09 (please enter a decimal) H1: P 0.09 V (Please enter a decimal) c. The test statistic ? V = 2.697 (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 ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% 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 higher than 9%. O The data suggest the population proportion is not significantly higher than 9% 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 9%. O The data suggest the population proportion is not significantly higher than 9% 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 higher than 9%. h. Interpret the p-value in the context of the study. There is a 0.34999999999999% chance of a Type I error. O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug addicts become repeat offenders. O f the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 396 convicted sex offender drug addicts are observed then there would be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 9% and if another 396 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 9%. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 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 higher than 9%. 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 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: р 0.09 (please enter a decimal) H1: P 0.09 V (Please enter a decimal) c. The test statistic ? V = 2.697 (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 ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% 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 higher than 9%. O The data suggest the population proportion is not significantly higher than 9% 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 9%. O The data suggest the population proportion is not significantly higher than 9% 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 higher than 9%. h. Interpret the p-value in the context of the study. There is a 0.34999999999999% chance of a Type I error. O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug addicts become repeat offenders. O f the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 396 convicted sex offender drug addicts are observed then there would be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 9% and if another 396 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 9%. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 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 higher than 9%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
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The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: 0.09 |(please enter a decimal) H1: P 0.09 (Please enter a decimal) c. The test statistic ? 2.697 (please show your answer to 3 decimal places.) d. The p-value =| 0.0035 v (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% 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 higher than 9%. O The data suggest the population proportion is not significantly higher than 9% 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 9%. O The data suggest the population proportion is not significantly higher than 9% 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 higher than 9%. h. Interpret the p-value in the context of the study. O There is a 0.34999999999999% chance of a Type I error. O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 396 convicted sex offender drug addicts are observed then there would be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. O f the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 9% and if another 396 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 9%. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 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 higher than 9%. 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 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 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 b. The null and alternative hypotheses would be: Но: 0.09 |(please enter a decimal) H1: P 0.09 (Please enter a decimal) c. The test statistic ? 2.697 (please show your answer to 3 decimal places.) d. The p-value =| 0.0035 v (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% 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 higher than 9%. O The data suggest the population proportion is not significantly higher than 9% 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 9%. O The data suggest the population proportion is not significantly higher than 9% 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 higher than 9%. h. Interpret the p-value in the context of the study. O There is a 0.34999999999999% chance of a Type I error. O There is a 0.34999999999999% chance that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 13% and if another 396 convicted sex offender drug addicts are observed then there would be a 0.34999999999999% chance of concluding that more than 9% of all convicted sex offender drug addicts become repeat offenders. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 convicted sex offender drug addicts are surveyed then there would be a 0.34999999999999% chance that more than 13% of the 396 convicted sex offender drug addicts in the study will become repeat offenders. i. Interpret the level of significance in the context of the study. O f the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 9% and if another 396 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 9%. O There is a 5% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 9%. O If the population proportion of convicted sex offender drug addicts who become repeat offenders is 9% and if another 396 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 higher than 9%. O There is a 5% chance that Lizard People aka "Reptilians" are running the world.
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