Question

**The recidivism rate for convicted sex offenders is 16%.
A warden suspects that this percent is**

** different
if the sex offender is also a drug addict. Of the 383 convicted sex
offenders who were**

** also
drug addicts, 77 of them became repeat offenders.**

** a)
What can be concluded at the level of significance?**

**b) For this study, should we use a t-test or a
z-test?**

**c) Identify the null and alternative
hypotheses.**

**d) If p-value is greater than should we reject or fail
to reject the null hypothesis?**

**e) State your final conclusion.**

Answer #1

a) As level of significance is not given we will assume at 5%.The level of significance will conclude that whether number of sex offender is also a drug addict is significant or not.

b)As per Central limit the sample size is sufficient large we will use a z distribution.

c)Here null hypothesis and alternate hypothesis

and

d)First we will find test statistic

Now P-value for two tail statistic =2*P(z>2.189)=2*0.0143=0.0289

As P-value is less than assumed alpha=0.05 we reject null hypothesis.

d)If P-value is greater than alpha we failed to reject the null hypothesis

e)As we reject the null hypothesis the we support the claim that

**the given percent is different if the sex offender is
also a drug addict.**

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For this study, we should use Select an answerz-test for a
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The null and alternative hypotheses would be:
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