document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248992>Question 248992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are attitudes toward shopping changing? Sample surveys show that fewer people enjoy shopping than in the past. A recent survey asked a nationwide random sample of 2577 adults if they agreed or disagreed that \"I like buying new clothes, but shopping is often frustrating and time-consuming.\" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over. Suppose that in fact 62% of all adult U.S. residents would say \"Agree\" if asked the same questions. What is the probability that 1610 or more of the sample agree?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181395 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=181395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are attitudes toward shopping changing? <BR>\n" );
document.write( "Sample surveys show that fewer people enjoy shopping than in the past. <BR>\n" );
document.write( "A recent survey asked a nationwide random sample of 2577 adults if they agreed or disagreed that \"I like buying new clothes, but shopping is often frustrating and time-consuming.\" <BR>\n" );
document.write( "The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over. <BR>\n" );
document.write( "Suppose that in fact 62% of all adult U.S. residents would say \"Agree\" if asked the same questions. <BR>\n" );
document.write( "What is the probability that 1610 or more of the sample agree?<BR>\n" );
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document.write( "population mean = sample mean = 0.62<BR>\n" );
document.write( "sample std = sqrt[0.62*0.38/2577] = 0.0096<BR>\n" );
document.write( "sample proportion = 1610/2577 = 0.6240<BR>\n" );
document.write( "z(0.6240) = (0.6240-0.62)/0.0096 = 0.4167<BR>\n" );
document.write( "P(x >= 1610) = P(z >= 0.4167) = 0.3385<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--<BR>\n" );
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