document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351370>Question 351370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A recent study reports that 2.5% of elementary children are allergic to peanuts. A random sample of 200 elementary school children is collected to test this. \r<BR>\n" );
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document.write( "Compute the probability that proportion of children in the sample of 200 who are allergic to peanuts is 3% or less. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251107 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=251107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A recent study reports that 2.5% of elementary children are allergic to peanuts. <BR>\n" );
document.write( "A random sample of 200 elementary school children is collected to test this. <BR>\n" );
document.write( "Compute the probability that proportion of children in the sample of 200 who are allergic to peanuts is 3% or less.<BR>\n" );
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document.write( "z(0.03) = (0.030-0.025)/sqrt[0.025*0.975/200] = 0.4529<BR>\n" );
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document.write( "P(p-hat<=0.030) = P(z<=0.4529) = 0.6747<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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