The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percentage is higher if the sex offender is also a drug addict. Of the 378 convicted sex offenders who were also drug addicts, 72 of them became repeat offenders. What can be concluded at the α = 0.10 level of significance? a. For this study, we should use [Select an answer].b. The null and alternative hypotheses would be: - \( H_0: \) [Select an answer] (please enter a decimal) - \( H_1: \) [Select an answer] (Please enter a decimal)c. The test statistic \( ? \) = ______ (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 [Select an answer] α.f. Based on this, we should [Select an answer] the null hypothesis. g. Thus, the final conclusion is that … - \( \bigcirc \) The data suggest the population proportion is not significantly higher than 16% at \( \alpha = 0.10 \), 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 16%. - \( \bigcirc \) The data suggest the population proportion is not significantly higher than 16% at \( \alpha = 0.10 \), so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 16%. - \( \bigcirc \) The data suggest the population proportion is significantly higher than 16% at \( \alpha = 0.10 \), so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 16%. **Transcription and Explanation of Statistical Concepts:****h. 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 16% and if another 378 convicted sex offender drug addicts are surveyed, then there would be a 5.3% chance that more than 19% of the 378 convicted sex offender drug addicts in the study will become repeat offenders.- If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 19% and if another 378 convicted sex offender drug addicts are observed, then there would be a 5.3% chance of concluding that more than 16% of all convicted sex offender drug addicts become repeat offenders.- There is a 5.3% chance of a Type I error.- There is a 5.3% chance that more than 16% of all convicted sex offender drug addicts become repeat offenders.**i. 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 16% and if another 378 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 higher than 16%.- There is a 10% chance that Lizard People aka "Reptilians" are running the world.- If the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 16% and if another 378 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 16%.- There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is higher than 16%.**Graph/Diagram Explanation:**The text does not contain any graphs or diagrams. It outlines statistical interpretations, particularly focusing on understanding p-values and levels of significance in a hypothetical study context.

Given : x = 72 n = 378 p^ = xn p^ = 72378 p^ = 0.191 α = 0.1 a) For this study, we should use…

Answered: The recidivism rate for convicted sex…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P