document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178602>Question 1178602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An educator estimates that the dropout rate for seniors at high schools in Colorado is 12%. Last year in a random sample of 300 Colorado seniors, 27 withdrew from school. At α = 0.05, is there enough evidence to reject the educator’s claim?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807947 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=807947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> point estimate is 9%<BR>\n" );
document.write( "Ho: p=0.12<BR>\n" );
document.write( "Ha: p NE 0.12<BR>\n" );
document.write( "alpha = 0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a z=(p hat-p)/sqrt(p(1-p)/n)<BR>\n" );
document.write( "two way test, reject z if |z|>1.96<BR>\n" );
document.write( "z=-0.03/sqrt(.12*.88/300)<BR>\n" );
document.write( "=-0.03/0.0188<BR>\n" );
document.write( "=-1.60<BR>\n" );
document.write( "fail to reject Ho, insufficient evidence to refute educator's claim.<BR>\n" );
document.write( "p-value is 0.11 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );