document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125663>Question 1125663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A programmer plans to develop a new software system. In planning for the operating system that he will&#8203; use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99&#8203;% confident that his estimate is in error by no more than four percentage points question mark  Complete parts&#8203; (a) through&#8203; (c) below. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742005 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for a one sample proportion, the SE for 0.995, or 99% confident, is<BR>\n" );
document.write( "2.576*sqrt[p*(1-p)/n], and that equals 0.04<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "6.636*0.5*0.5/n=0.0016, using 0.5 as the maximum sample size (most conservative).  Multiply both sides by n, then divide both by 0.0016<BR>\n" );
document.write( "n=1036.875 or 1037 computers </SPAN>\n" );
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