document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005133>Question 1005133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a particular candidate for public office is in fact favored by 49% of all registered voters in the district. A polling organization will take a random sample of 700 voters and will use p&#770;, the sample proportion, to estimate p. \r<BR>\n" );
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document.write( "What is the approximate probability that p&#770; will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621483 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=621483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that a particular candidate for public office is in fact favored by 49% of all registered voters in the district. <BR>\n" );
document.write( "A polling organization will take a random sample of 700 voters and will use p&#770;^, the sample proportion, to estimate p.<BR>\n" );
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document.write( "What is the approximate probability that p&#770;  will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election? <BR>\n" );
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document.write( "z(0.5) = (0.5-0.49)/sqrt[0.49*0.51/700] = 0.01/0.01889 = 0.5393<BR>\n" );
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document.write( "P(p^>0.5) = P(z > 0.5393) = 0.2983<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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