Conduct a test at the α=0.01 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling.   Test whether p1>p2. The sample data are x1=129​, n1=241​, x2=139​, and n2=312. ​(a) Choose the correct null and alternative hypotheses below.     A. H0: p1=p2 versus H1: p1≠p2   B. H0: p1=p2 versus H1: p1>p2 Your answer is correct.   C. H0: p1=p2 versus H1: p1

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Conduct a test at the
α=0.01
level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling.
 
Test whether
p1>p2.
The sample data are
x1=129​,
n1=241​,
x2=139​,
and
n2=312.
​(a) Choose the correct null and alternative hypotheses below.
 
 
A.
H0: p1=p2
versus H1: p1≠p2
 
B.
H0: p1=p2
versus H1: p1>p2
Your answer is correct.
 
C.
H0: p1=p2
versus H1: p1<p2
 
D.
H0: p1=0
versus H1: p1≠0
​(b) Determine the test statistic.
 
z0=
​(Round to two decimal places as​ needed.)
 
Pvalue =
(Round to three decimal places as​ needed.
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