Expert answer:Hypothesis Bio-statistics homework. Find ˆ pC and ˆ pS. Also and the estimated standard error b se used to test the null hypothesis H0 : pC = pS and the estimated standard error b se used for the confidence interval.
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Work Sheet #11
Name(s):
Group
Control
Surgery
n
348
347
died
31
16
Table 1: Data for Prostate Surgery Experiment
From 1989 through 1999, 695 Scandinavian men with newly diagnosed prostate
cancer were randomly assigned to surgery (radical prostatectomy) or control
(New England Journal of Medicine 2002).
1. Find p̂C and p̂S . Also nd the estimated standard error se
b used to test
the null hypothesis H0 : pC = pS and the estimated standard error se
b
used for the con dence interval.
2. Find the approximate p-value for the test of H0 : pC = pS against HA :
pC 6= pS .
3. Find the approximate 95% con dence interval for pC − pS . Explain what
this intervals tells us about the reduction in the risk of death if one chooses
surgery.
1

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