document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993502>Question 993502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Better Business Bureau settles 65% of complaints it receives involving new car dealers.  Suppose a sample of 90 complaints involving new car dealers is selected.  Find the probability that Better Business Bureau settles less than 62 of these complaints\r<BR>\n" );
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document.write( "Please please help me<BR>\n" );
document.write( "Thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612758 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=612758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looking at the problem, the expected number of complaints solved for 90 would be 90*0.65=58.5, and that is less than 62.  Therefore, the probability will be fairly large that they settle fewer than 62.\r<BR>\n" );
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document.write( "The probability is <62/90=0.6888 (repeat)<BR>\n" );
document.write( "1 sample proportion<BR>\n" );
document.write( "z=(0.6888-0.65)/sqrt{ (0.65)(0.35)/90}<BR>\n" );
document.write( "denominator is 0.0503<BR>\n" );
document.write( "z=  0.03888/0.05<BR>\n" );
document.write( "We want the probability that z is < than that number,  The probability will be more than a half, since the sample proportion  is greater than the purported probability.<BR>\n" );
document.write( "That is 0.7817<BR>\n" );
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