document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482742>Question 482742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 53% of college applications were submitted online, and I have a sample of 1000 apps., with 530 submitted online, how do I solve this question if I use a significance level of 0.01. Do the apps. equal 50%\r<BR>\n" );
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document.write( "I know how to state the clain and find the null and alternative hypothesis. I am having problems actually setting up the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330412 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=330412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 53% of college applications were submitted online, and I have a sample of 1000 apps., with 530 submitted online, how do I solve this question if I use a significance level of 0.01. Do the apps. equal 50%<BR>\n" );
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document.write( "Ho: p = 0.50 (claim)<BR>\n" );
document.write( "H1: p  is not equal to 0.50<BR>\n" );
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document.write( "Sample proportion: 530/1000 = 0.530<BR>\n" );
document.write( "test statistic: <BR>\n" );
document.write( "z(0.53) = (0.53-0.50)/sqrt[0.5*0.5/sqrt(530)] = 0.2879<BR>\n" );
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document.write( "p-value = 2*P(z > 0.2879) = 0.7734<BR>\n" );
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document.write( "Since the p-value is greater than 1%, fail to reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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