Conduct the following test at the  alpha=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 p 1 not equals p 2p1≠p2. Sample data are x 1 equals 30x1=30​, n 1 equals 254n1=254​, x 2 equals 38x2=38​, and n 2 equals 301n2=301.

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Conduct the following test at the 
alpha=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
p 1 not equals p 2p1≠p2.
Sample data are
x 1 equals 30x1=30​,
n 1 equals 254n1=254​,
x 2 equals 38x2=38​,
and
n 2 equals 301n2=301.
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