document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185090>Question 1185090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sales clerk in a departmental store claims that 45% 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. Can we accept the clerk's claim at α=5% level of significance?\r<BR>\n" );
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document.write( "The test value is: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815852 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=815852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p hat is 0.667 because 40/60 shoppers left without buying<BR>\n" );
document.write( "Ho: p is =0.45<BR>\n" );
document.write( "Ha: p is NE 0.45<BR>\n" );
document.write( "alpha is 0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a z, 2-way 1-proportion test<BR>\n" );
document.write( "reject Ho for |z|> 1.96<BR>\n" );
document.write( "z=(p hat-p)/sqrt (p(1-p)/n)<BR>\n" );
document.write( "=-0.667/sqrt (0.45*0.55/60)<BR>\n" );
document.write( "=-0.217/0.0642<BR>\n" );
document.write( "=-3.37<BR>\n" );
document.write( "Reject Ho; the true proportion is not 0.45. </SPAN>\n" );
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