document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186947>Question 1186947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a survey of 1010 adults in a​ country,77​% said being able to speak the language is at the core of national identity. The​ survey's margin of error is +/- 3.2​%.<BR>\n" );
document.write( "Confidence interval for the proportion is (0.738, 0.802)<BR>\n" );
document.write( "Please determine:<BR>\n" );
document.write( "The interval is a ?% confidence interval? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820469 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=820469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of each endpoint from the mean is 0.032<BR>\n" );
document.write( "0.032=z(sqrt(.77*.23)/1010); sqrt term=0.01324<BR>\n" );
document.write( "z=-.032/0.01324=2.416<BR>\n" );
document.write( "that is prob=0.0078 on each side, 0.0156 altogether, orange 98.44% CI.<BR>\n" );
document.write( "This won't be exact because 77% will give 777.7 which can't be the numerator, it will have to be 778, and that will change the answer slightly. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );