Suppose an experiment is done with criminals released from prison in a certain s
ID: 3218988 • Letter: S
Question
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 33%: that is, 33% of criminals return to prison three years. One hundred random prisoners are made to attend "boot camp' for two weeks before their release, and it is hoped that "boot camp" will have a effect. Suppose 29 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of 33%. 0.33. Complete parts (a) through (c) below. What is p^the sample proportion of successes? (It is somewhat odd to call returning to prison a success). What is p_0 the hypothetical proportion of success under the null hypothesis? What is the value of the test statistic? Explain in context. value of the test statistic tells that the observed proportion of prisoners was the null hypothesis proportion of prisoners.Explanation / Answer
29 prisoner return out of 100 .
a)p^ = 29/100 = 0.29
b) p0 = 0.33 { under null hypotheis}
c) test statistic = (p^- p0)/sqrt(p0q0/n)
=(0.29-0.33)/sqrt(0.33*.67/100)
=-0.85067
d) observed proportion was 0.85 sd below the proportion under null hypothesis