document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183123>Question 1183123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A simple random sample of 300 is selected from a large shipment and testing reveals that 4% of selected samples are defective. The supplier claims that no more than 2% of the shipment are defective.Testing at 1% of significance. What conclusion can you draw from this statement </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813380 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=813380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:p=0.02<BR>\n" );
document.write( "Ha:p NE 0.02<BR>\n" );
document.write( "z=(p hat-p)/sqrt(p(1-p)/300)<BR>\n" );
document.write( "critical value is z(0.995) so reject Ho for |z|>2.576<BR>\n" );
document.write( "=.02/sqrt(.02*0.98/300)<BR>\n" );
document.write( "z=2.474; p-value 0.0134 for 2 way test.<BR>\n" );
document.write( "Fail to reject at the 1% level; insufficient evidence.<BR>\n" );
document.write( "With a Poisson approximation with parameter 6 (300*0.02) the probability of having 12 would be 0.0112. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );