document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187178>Question 1187178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directors of a mining company claim that 90% of the workforce supports a new shift pattern that they have suggested. A random survey of 100 people in the workforce finds 85 in favour of the new scheme. Test at 5% level of significance if there is difference between the survey results and the directors'claim. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818339 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=818339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: p=0.9<BR>\n" );
document.write( "Ha:p ne 0.9<BR>\n" );
document.write( "alpha =0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a z<BR>\n" );
document.write( "reject Ho for |z|>1.96<BR>\n" );
document.write( "z=(phat-p)/sqrt (p*(1-p)/n)<BR>\n" );
document.write( "=-0.05/sqrt(0.09/100)<BR>\n" );
document.write( "=-0.05/0.03=-1.67<BR>\n" );
document.write( "fail to reject Ho at 5% level. There is insufficient evidence to reject the claim.<BR>\n" );
document.write( "p-value=0.096 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );