The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 304 convicted sex offenders who were also drug addicts, 55 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: ? - Select an answer (please enter a decimal) H1: ? v Select an answer v |(Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.)
The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 304 convicted sex offenders who were also drug addicts, 55 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: ? - Select an answer (please enter a decimal) H1: ? v Select an answer v |(Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percent is higher if the
sex offender is also a drug addict. Of the 304 convicted sex offenders who were also drug addicts, 55 of
them became repeat offenders. What can be concluded at the a = 0.10 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Но: ? v
Select an answer
(please enter a decimal)
H1: ? v
Select an answer ♥
(Please enter a decimal)
c. The test statistic ? 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 ? v
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the populaton proportion is significantly higher than 16% 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 higher than 16%.
The data suggest the population proportion is not significantly higher than 16% at a =
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%.
0.10, so
The data suggest the population proportion is not significantly higher than 16% 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 higher than 16%.
h. Interpret the p-value in the context of the study.
There is a 15.99% chance that more than 16% of all convicted sex offender drug addicts
become repeat offenders.
If the sample proportion of convicted sex offender drug addicts who become repeat offenders
is 18% and if another 304 convicted sex offender drug addicts are observed then there would
be a 15.99% chance of concluding that more than 16% of all convicted sex offender drug
addicts become repeat offenders.
There is a 15.99% chance of a Type I error.
If the population proportion of convicted sex offender drug addicts who become repeat
offenders is 16% and if another 304 convicted sex offender drug addicts are surveyed then
there would be a 15.99% chance that more than 18% of the 304 convicted sex offender drug
addicts in the stuudy will become repeat offenders
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