document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183969>Question 1183969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results. (10 points) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814495 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=814495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: proportion =0.43<BR>\n" );
document.write( "Ha: proportion NE 0.43<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test is a z<BR>\n" );
document.write( "reject for |z|>2.576<BR>\n" );
document.write( "calculate z=(phat-p)/sqrt(0.37*0.63/100)<BR>\n" );
document.write( "=0.06/0.048<BR>\n" );
document.write( "=1.24<BR>\n" );
document.write( "fail to reject Ho; insufficient evidence to say there is a difference at the 1% level of significance.<BR>\n" );
document.write( "p-value=0.22 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );