document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532022>Question 532022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A national bank published a report on improvements in customer satisfaction and loyalty. the report concluded that 48% of the bank customers expressed customer delight regarding the banks customer services. suppose you surveyed 350 custimers in your town to inquire about customer delight towards this bank.<BR>\n" );
document.write( "a)find the probability that the majority of the people in your sample of 350 customers would express customer delight.<BR>\n" );
document.write( "b)the probability of 70% that the sample proportion of respondents expressing customer delight will be less than what percentage?<BR>\n" );
document.write( "c)the probability is 80% that the sample proportion will be contained within what symmtetrical limits of the population proportion </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350668 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=350668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A national bank published a report on improvements in customer satisfaction and loyalty. the report concluded that 48% of the bank customers expressed customer delight regarding the banks customer services. suppose you surveyed 350 customers in your town to inquire about customer delight towards this bank.<BR>\n" );
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document.write( "mean of the sample means = 0.48<BR>\n" );
document.write( "std of the sample means = sqrt(0.48*0.52/350) = 0.0267<BR>\n" );
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document.write( "a)find the probability that the majority of the people in your sample of 350 customers would express customer delight.:::<BR>\n" );
document.write( "z(0.5) = (0.5-0.48)/0.0267) = 0.7491<BR>\n" );
document.write( "P(p-hat > 0.5) = P(z > 0.7491) = 0.2269<BR>\n" );
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document.write( "b)the probability of 70% that the sample proportion of respondents expressing customer delight will be less than what percentage?<BR>\n" );
document.write( "invNorm(0.7) = 0.5244<BR>\n" );
document.write( "p-hat = zs+u<BR>\n" );
document.write( "p-hat = 0.5244*0.0267+0.48 = 0.4940<BR>\n" );
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document.write( "c)the probability is 80% that the sample proportion will be contained within what symmtetrical limits of the population proportion<BR>\n" );
document.write( "invNom(0.1) = -1.2816<BR>\n" );
document.write( "lower limit = p-hat = -1.2816*0.0267+0.48 = 0.4458<BR>\n" );
document.write( "upper limit = p-hat = +1.2816*0.0267+0.48 = 0.5142<BR>\n" );
document.write( "======================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );