document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311221>Question 311221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true proportion of students attending private schools with 95% confidence. How does your estimate compare to 11%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222738 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=222738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true proportion of students attending private schools with 95% confidence. ---<BR>\n" );
document.write( "p-hat = 55/450 = 0.1222<BR>\n" );
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document.write( "E = 1.96*sqrt[0.11*0.89/450] = 0.0288<BR>\n" );
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document.write( "95% CI: 0.1222- 0.0288 < p < 0.1222+ 0.0288<BR>\n" );
document.write( "95% CI: 0.934 < p < 0.1510<BR>\n" );
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document.write( "How does your estimate compare to 11%?<BR>\n" );
document.write( "The confidence inteval contains 11%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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