document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478328>Question 478328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You wish to test the following claim (Ha) with a .01 significance level.<BR>\n" );
document.write( "H0: p1 = p2<BR>\n" );
document.write( "Ha: p1 does not equal p2\r<BR>\n" );
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document.write( "You obtain 18.6% successes in a sample of size n1 = 291 from the first population. You obtain 13.2% successes in a sample of size n2 = 744 from the second population.\r<BR>\n" );
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document.write( "What is the test statistic for this sample? (Report answer accurate to three decimal places.) <BR>\n" );
document.write( "test statistic = \r<BR>\n" );
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document.write( "What is the p-value for this sample? (Report answer accurate to four decimal places.) <BR>\n" );
document.write( "p-value = \r<BR>\n" );
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document.write( "I'm having trouble with this entire problem. I can't get the test statistic or p-value to turn out right. Can you tell me what I'm supposed to be looking for/doing step by step? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327736 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You wish to test the following claim (Ha) with a .01 significance level.<BR>\n" );
document.write( "H0: p1 = p2<BR>\n" );
document.write( "Ha: p1 does not equal p2 <BR>\n" );
document.write( "You obtain 18.6% successes in a sample of size n1 = 291 from the first population. You obtain 13.2% successes in a sample of size n2 = 744 from the second population. <BR>\n" );
document.write( "What is the test statistic for this sample? (Report answer accurate to three decimal places.)<BR>\n" );
document.write( "p1-p2 = (0.185-0.132)/sqrt[(0.186*0.0.814)/291 + (0.132*0.868/744)] = 2.0410 <BR>\n" );
document.write( "test statistic =2.0410<BR>\n" );
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document.write( "What is the p-value for this sample? (Report answer accurate to four decimal places.) \r<BR>\n" );
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document.write( "p-value = 2*P(z > 2.0410) = 0.0413<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 1% fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( "-----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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