document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=577037>Question 577037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Construct the 95% and the 99% confidence intervals for the population proportion p using the sample statistics below:\r<BR>\n" );
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document.write( "p=0.627<BR>\n" );
document.write( "q=0.373<BR>\n" );
document.write( "n=4351\r<BR>\n" );
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document.write( "The 95% confidence interval for the population proportion p is (____, ____)\r<BR>\n" );
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document.write( "The 99% confidence interval for the population proportion p is (_____,____)\r<BR>\n" );
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document.write( "Which interval is wider?\r<BR>\n" );
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document.write( "*Answer needed asap please. 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 #370044 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=370044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 95% confidence interval\r<BR>\n" );
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document.write( "( p - z*sqrt( (p(1-p))/n ), p + z*sqrt( (p(1-p))/n ) )\r<BR>\n" );
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document.write( "( 0.627 - 1.95996*sqrt( (0.627(1-0.627))/4351 ),  0.627 + 1.95996*sqrt( (0.627(1-0.627))/4351 ) )\r<BR>\n" );
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document.write( "( 0.6126,  0.6414 )\r<BR>\n" );
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document.write( "So the 95% confidence interval is ( 0.6126,  0.6414 ), it's width is 0.6414 - 0.6126 = 0.0288\r<BR>\n" );
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document.write( "99% confidence interval\r<BR>\n" );
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document.write( "( p - z*sqrt( (p(1-p))/n ), p + z*sqrt( (p(1-p))/n ) )\r<BR>\n" );
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document.write( "( 0.627 - 2.5758*sqrt( (0.627(1-0.627))/4351 ),  0.627 + 2.5758*sqrt( (0.627(1-0.627))/4351 ) )\r<BR>\n" );
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document.write( "( 0.6081,  0.6459 )\r<BR>\n" );
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document.write( "So the 99% confidence interval is ( 0.6081,  0.6459 ), it's width is 0.6459 - 0.6081 = 0.0378\r<BR>\n" );
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document.write( "So the 99% confidence interval is wider </SPAN>\n" );
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