Conduct a test at the α=0.10 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=120​, n1=249​, x2=133​, and n2=312.

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Conduct a test at the
α=0.10
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=120​,
n1=249​,
x2=133​,
and
n2=312.
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