document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168753>Question 1168753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.\r<BR>\n" );
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document.write( "90% confidence; n = 360, x = 110<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793365 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=793365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "At 90% confidence, the z critical value is about z = 1.645; this value you'll need to look up in a table found in the back of your book. You can also use a calculator.\r<BR>\n" );
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document.write( "phat = sample proportion<BR>\n" );
document.write( "phat = x/n<BR>\n" );
document.write( "phat = 110/360<BR>\n" );
document.write( "phat = 0.30556\r<BR>\n" );
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document.write( "E = margin of error<BR>\n" );
document.write( "E = z*sqrt(phat*(1-phat)/n)<BR>\n" );
document.write( "E = 1.645*sqrt(0.30556*(1-0.30556)/360)<BR>\n" );
document.write( "E = 0.039937<BR>\n" );
document.write( "E = 0.0399<BR>\n" );
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