document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161795>Question 161795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the standard error of the sampling distribution of the sample proportion is .0337 for samples of size 200, then the population proportion must be: (<BR>\n" );
document.write( "        A) 0.25 <BR>\n" );
document.write( "        B) 0.75 <BR>\n" );
document.write( "        C) 0.20 or 0.80 <BR>\n" );
document.write( "        D) 0.35 or 0.65 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119235 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for standard error is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28p%281-p%29%29%2Fn%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28p%281-p%29%29%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "where p is the population proportion and n is sample size.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28p%281-p%29%29%2Fn%29=sqrt%28%28p%281-p%29%29%2F200%29=.0337 ALIGN=MIDDLE  ALT=\"sqrt%28%28p%281-p%29%29%2Fn%29=sqrt%28%28p%281-p%29%29%2F200%29=.0337\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%281-p%29%29%2F200=.00113569 ALIGN=MIDDLE  ALT=\"%28p%281-p%29%29%2F200=.00113569\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%281-p%29=.227138 ALIGN=MIDDLE  ALT=\"p%281-p%29=.227138\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-p%5E2=.227138 ALIGN=MIDDLE  ALT=\"p-p%5E2=.227138\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-p%2B.227138=0 ALIGN=MIDDLE  ALT=\"p%5E2-p%2B.227138=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%280.227138%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"p+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%280.227138%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+sqrt%28+1-4%2A1%2A%280.227138%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+sqrt%28+1-4%2A1%2A%280.227138%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+sqrt%28+1-.908522%29+%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+sqrt%28+1-.908522%29+%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+sqrt%28+.091448%29+%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+sqrt%28+.091448%29+%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%281+%2B-+.3024+%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"p+=+%281+%2B-+.3024+%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B1%5D+=+%281+%2B+.3024+%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"p%5B1%5D+=+%281+%2B+.3024+%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B1%5D=1.3024%2F2=0.6512 ALIGN=MIDDLE  ALT=\"p%5B1%5D=1.3024%2F2=0.6512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B2%5D+=+%281+-+.3024+%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"p%5B2%5D+=+%281+-+.3024+%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5B2%5D+=.6976%2F2=0.3488+ ALIGN=MIDDLE  ALT=\"p%5B2%5D+=.6976%2F2=0.3488+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The answer is  D) 0.35 or 0.65.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );