document.write( "Question 1065814: I have included what I think I have right so far. Thank you!\r
\n" ); document.write( "\n" ); document.write( "H0: π1 = π2
\n" ); document.write( "H1: π1 ≠ π2
\n" ); document.write( "A sample of 200 observations from the first population indicated that x1 is 170. A sample of 150 observations from the second population revealed x2 to be 110. Use the .05 significance level to test the hypothesis.
\n" ); document.write( "a. State the decision rule.
\n" ); document.write( "b. Compute the pooled proportion.
\n" ); document.write( " Population 1 170/200=.85
\n" ); document.write( " Population 2 110/150=.73
\n" ); document.write( " Pooled Proportion (170+110)/(200+150)=0.8
\n" ); document.write( "c. Compute the value of the test statistic.
\n" ); document.write( " Test Statistic (0.85 - 0.73)/SQRT (0.8*0.2*(1/200 + 1/150))=2.78
\n" ); document.write( "d. What is your decision regarding the null hypothesis?
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Algebra.Com's Answer #680981 by Boreal(15235)\"\" \"About 
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Alpha is 0.05
\n" ); document.write( "The critical value is |z|>1.96
\n" ); document.write( "The z value computed is in excess of 2.70.
\n" ); document.write( "This is significant at the 0.01 level.
\n" ); document.write( "Reject Ho; there is a difference between the two proportions. They are not samples from the same pool, if one wished to say that.
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