The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 309 convicted sex offenders who were also drug addicts, 31 of them became repeat offenders. What can be concluded at the a= 0.01 level of significance? For this study, we should use [Select an answer The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) The test statistic The p-value = The p-value is ? a Based on this, we should Select an answer the null hypothesis. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 13% at a = 0.01, 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 13%. The data suggest the populaton proportion is significantly different from 13% at a = 0.01, 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 13%. The data suggest the population proportion is not significantly different from 13% at a = 0.01, 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 13%. Interpret the p-value in the context of the study. O There is a 12.08% chance of a Type I error. O There is a 12.08% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 13%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is different if
the sex offender is also a drug addict. Of the 309 convicted sex offenders who were also drug addicts, 31 of
them became repeat offenders. What can be concluded at the a = 0.01 level of significance?
For this study, we should use Select an answer
The null and alternative hypotheses would be:
Ho: ? ✓ Select an answer
H₁: ? Select an answer
(please enter a decimal)
(Please enter a decimal)
The test statistic ? ✓ =
The p-value =
The p-value is ? va
Based on this, we should [Select an answer the null hypothesis.
Thus, the final conclusion is that ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
O The data suggest the population proportion is not significantly different from 13% at a = 0.01,
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 13%.
O The data suggest the populaton proportion is significantly different from 13% at a = 0.01, 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 13%.
O The data suggest the population proportion is not significantly different from 13% at a = 0.01,
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 13%.
Interpret the p-value in the context of the study.
O There is a 12.08% chance of a Type I error.
O There is a 12.08% chance that the percent of all convicted sex offender drug addicts become
repeat offenders differs from 13%.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 309 convicted sex offenders who were also drug addicts, 31 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) The test statistic ? ✓ = The p-value = The p-value is ? va Based on this, we should [Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 13% at a = 0.01, 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 13%. O The data suggest the populaton proportion is significantly different from 13% at a = 0.01, 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 13%. O The data suggest the population proportion is not significantly different from 13% at a = 0.01, 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 13%. Interpret the p-value in the context of the study. O There is a 12.08% chance of a Type I error. O There is a 12.08% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 13%.
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