Conduct the following test at the α=0.05 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=28​, n1=254​, x2=36​, and n2=301.

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Conduct the following test at the
α=0.05
level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling.
 
Test whether
p1≠p2.
Sample data are
x1=28​,
n1=254​,
x2=36​,
and
n2=301.
 
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