document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054795>Question 1054795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A regeneration survey has indicated that 75 of the 90 plots examined were stocked. \r<BR>\n" );
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document.write( "a) Find the 99% confidence limits for the fraction of the total area being stocked.<BR>\n" );
document.write( "b) How large a sample is needed if we wish to be 95% confident that our sample proportion will be within 0.05 of the true fraction?\r<BR>\n" );
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document.write( "2. Another survey from another area indicated 75% stocking from 100 plots. Is this different from the area described in Question 1? Use 90% and 95% confidence limits. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670024 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = 75/90 = 5/6  and q = 1/6<BR>\n" );
document.write( "99%<BR>\n" );
document.write( "a. ME = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2Asqrt%28%28p%281-p%29%29%2Fn%29 ALIGN=MIDDLE  ALT=\"z%2Asqrt%28%28p%281-p%29%29%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ±    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.576%2Asqrt%28%28%285%2F6%29%281%2F6%29%29%2F90%29 ALIGN=MIDDLE  ALT=\"2.576%2Asqrt%28%28%285%2F6%29%281%2F6%29%29%2F90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "5/6 - ME < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > < 5/6 + ME<BR>\n" );
document.write( "b.  n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2FME%29%5E2+%28p%281-p%29%29%29 ALIGN=MIDDLE  ALT=\"%28z%2FME%29%5E2+%28p%281-p%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.645%2F.05%29%5E2+%28%285%2F6%29%281%2F6%29%29%29 ALIGN=MIDDLE  ALT=\"%281.645%2F.05%29%5E2+%28%285%2F6%29%281%2F6%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2. Yes: p = 75/100 = 3/4  and q = 1/4<BR>\n" );
document.write( "follow steps in a above for z = 1.645  and z = 1.96<BR>\n" );
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document.write( " = CI	z = value<BR>\n" );
document.write( "90%	z =1.645<BR>\n" );
document.write( "92%	z = 1.751<BR>\n" );
document.write( "95%	z = 1.96<BR>\n" );
document.write( "98%	z = 2.326<BR>\n" );
document.write( "99%	z = 2.576<BR>\n" );
document.write( " </SPAN>\n" );
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