The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a= 0.10 level of significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 11%. A warden suspects that this percent is different if
the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of
them became repeat offenders. What can be concluded at the a = 0.10 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? ♥ α
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 11% at a = 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 different from 11%.
O The data suggest the populaton proportion is significantly different from 11% at a = 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 different from 11%.
The data suggest the population proportion is not significantly different from 11% at a = 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 11%.
Transcribed Image Text:The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.10 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? ♥ α 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 11% at a = 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 different from 11%. O The data suggest the populaton proportion is significantly different from 11% at a = 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 different from 11%. The data suggest the population proportion is not significantly different from 11% at a = 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 11%.
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