document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161899>Question 1161899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A U.S. Travel Data Center’s survey of 1500 randomly selected adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 95% confidence interval of the true proportion of all adults who favor visiting historical sites for vacations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785581 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=785581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 95% CI half-interval is z*sqrt(p*(1-p)/n) where z=1.96 and p=0.42<BR>\n" );
document.write( "so the half-interval is 1.96 *sqrt(.42.*58/1500)<BR>\n" );
document.write( "=0.025<BR>\n" );
document.write( "the CI is p hat+/- half-interval or (0.395, 0.445)\r<BR>\n" );
document.write( "\n" );
document.write( "Go to STAT TESTS A ENTER and put in 630 1500 and 0.95 for CI and ENTER.  The 630 comes from 1500*0.42, the number of people who stated they favored. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );