document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179412>Question 1179412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1000 voters in the town and found that 53% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 49%. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808961 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=808961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:p <=0.49<BR>\n" );
document.write( "Ha: p > 0.49<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a z from a 1 way 1 proportion test<BR>\n" );
document.write( "critical value is z> 2.326<BR>\n" );
document.write( "z=(p hat-p)/sqrt (p*(1-p)/n)<BR>\n" );
document.write( "=0.04/sqrt(0.49*0.51/1000); sqrt term=sqrt(0.0002499)=0.0158<BR>\n" );
document.write( "z=2.531<BR>\n" );
document.write( "reject Ho, the true proportion is greater than 49%<BR>\n" );
document.write( "p-value=0.0057 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );