document.write( "Question 1043848: Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the difference between two population proportions p 1p1 and p 2p2 at the given level of significance alphaα using the given sample statistics. Assume the sample statistics are from independent random samples.
\n" ); document.write( "Claim. P^1= p^2 £=.005
\n" ); document.write( "Sample statistic x^1=96 n^1= 171 and x^2=167 n^2 =224 \n" ); document.write( "
Algebra.Com's Answer #659078 by Boreal(15235)\"\" \"About 
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2 sample proportion test:
\n" ); document.write( "Ho p1=p2
\n" ); document.write( "Ha: p1-p2=0
\n" ); document.write( "alpha=0.001
\n" ); document.write( "Test statistic is z
\n" ); document.write( "Critical value |z|>3.29
\n" ); document.write( "z=(p1-p2)/SE
\n" ); document.write( "where SE = sqrt[p(1-p){(1/n1)+(1/n2)}]
\n" ); document.write( "p1=0.561
\n" ); document.write( "p2=0.746
\n" ); document.write( "pooled is 0.666
\n" ); document.write( "without rounding until the end, SE is 0.0479
\n" ); document.write( "p1-p2=-0.185
\n" ); document.write( "z=-3.86.
\n" ); document.write( "This is significantly different at the 0.001 level, so that we conclude the samples came from different populations or that there was a significant change between the two samples.
\n" ); document.write( "On a calculator, use STAT TESTS and 6, 2-Prop Z-test \n" ); document.write( "
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