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000 AT&T; LTE 8:00 PM 69%·D mathxl.com Wh Weekend... Shop Youn. to MyADP Course: 2. Homework Do Hom MTH 126-301, Fall 2017 Lisa Koscielski 11/10/17 7:59 PM Homework: Section 8.1 Homework Save Score: 5 of 6 pts 6 of 12 (12 complete) Hw Score: 96%, 24 of 25 pts 8.1.15 Question Help * Suppose aexpenmentdone with criminals released from pnson in a certan state where the recidism rne is 34%; that is, 34% of criminals return to prison within three years. One hundred random prisoners are made to attend a boot camp for two weeks before their release, and it is hoped that boot camp" wil have a good efect. Suppose 38 of those prisoners return to poon within three years. The null hypotess is that those attending boot camp have a rea divism rate of 34%, pe 034 Complete parts (a) through (c) below. a. What is p, the sample proportion of successes? (It is somewhat odd to call returning to prison a success) p0.38 (Type an integer or a decimal. Do not round b. what is Pothe hypothetical proportion of success under the rul hypotess? Po -0.34 (Type an integer or a decimal. Do not round.) c, whatthe vau0 of the test statistic? Explan in context. 4 (Round to two decimal places as needed.) The value of the test statistio tells that the observed proportion of prisoners was 0.84 standard erors) above the null hypothesis proportion of prisoners (Round to two decimal places as needed.) Question is complete. Tap on the red indicators to see incorrect answersExplanation / Answer
Given that,
possibile chances (x)=34
sample size(n)=100
success rate ( p )= x/n = 0.34
success probability,( po )=0.38
failure probability,( qo) = 0.62
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.34-0.38/(sqrt(0.2356)/100)
zo = -0.8241
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