H1: p v (Please enter a decimal) c. The test statistic zv = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 z-test for a population proportion v
b. The null and alternative hypotheses would be:
Но: | ру
0.16
(please enter a decimal)
%3D
=
o 0.16
H1: p v
(Please enter a decimal)
c. The test statistic z 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 fail to reject
the null hypothesis.
g. Thus, the final conclusion is that ...
O 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%.
O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so
there is statistically significant evidence to conclude that the population proportion of
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 z-test for a population proportion v b. The null and alternative hypotheses would be: Но: | ру 0.16 (please enter a decimal) %3D = o 0.16 H1: p v (Please enter a decimal) c. The test statistic z 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 fail to reject the null hypothesis. g. Thus, the final conclusion is that ... O 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%. O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of
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