document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166032>Question 1166032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sales clerk in the departmental store claims that 65% of the shoppers entering the store leave without making a purchase. A random sample of 60 shoppers showed that 40 of them left without buying anything. Are these sample results consistent with the claim of the sales clerk at 1% level of significance?                                                         </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790639 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=790639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: prob is 0.65<BR>\n" );
document.write( "Ha: prob is not 0.65<BR>\n" );
document.write( "alpha P(reject Ho|Ho true}=0.01<BR>\n" );
document.write( "test stat is a 1 sample proportion z=(p hat - p)/sqrt (p*(1-p)/n)<BR>\n" );
document.write( "critical value is |t|>2.576<BR>\n" );
document.write( "calculation is z=(0.6667-0.65)/sqrt (0.65*0.35/60)<BR>\n" );
document.write( "=0.27<BR>\n" );
document.write( "fail to reject Ho, and the results are consistent with the claim that the true proportion is 0.65<BR>\n" );
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