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.

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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=124​,
n1=246​,
x2=136​,
and
n2=311.
​(a) Choose the correct null and alternative hypotheses below.
 
 
A.
H0: p1=p2
versus H1: p1<p2
 
B.
H0: p1=0
versus H1: p1≠0
 
C.
H0: p1=p2
versus H1: p1>p2
 
D.
H0: p1=p2
versus H1: p1≠p2
​(b) Determine the test statistic.
 
z0=nothing
​(Round to two decimal places as​ needed.)
​(c) Determine the​ P-value.
 
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
What is the result of this hypothesis​ test?
 
 
A.
Do not reject
the null hypothesis because there
is not
sufficient evidence to conclude that
p1<p2.
 
B.
Do not reject the
null
hypothesis because there
is not
sufficient evidence to conclude that
p1≠p2.
 
C.
Do not reject
the null hypothesis because there
is not
sufficient evidence to conclude that
p1>p2.
 
D.
Reject
the null hypothesis because there
is
sufficient evidence to conclude that
p1<p2.
 
 
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