document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173774>Question 1173774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the chairman of the university department takes a random sample of 75 of 1727 and asks each of them: which of courses offered by the department should be retained? he decided that is significantly fewer than 20% of the students want the course, then it will be eliminated.if the result for the mathematics is that 11 of 75 want it retained, then determine its fate by testing h0: p=0.20 versus h1:p<0.20 at a=0.01 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799126 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=799126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: p >=0.20<BR>\n" );
document.write( "Ha: p < 0.20<BR>\n" );
document.write( "alpha =0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test is a 1 sample proportion<BR>\n" );
document.write( "critical value is a z<BR>\n" );
document.write( "reject if z < -2.326<BR>\n" );
document.write( "z=(0.147-0.20)/sqrt (0.2*0.8/75)<BR>\n" );
document.write( "=-0.053/0.046<BR>\n" );
document.write( "=-1.15<BR>\n" );
document.write( "fail to reject Ho at the 0.01 level. Insufficient evidence there are fewer than 20%<BR>\n" );
document.write( "p-value =0.12.<BR>\n" );
document.write( "sample not large enough to use finite population correction factor. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );