document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352085>Question 352085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like to know if I did the problem correctly:<BR>\n" );
document.write( "Percentage of adults who drink alcohol. Of the 1516 adults interviewed, 985 said that they drank.<BR>\n" );
document.write( "a. Determine a 95% confidnce interval for the proportion, p, of all Americans who drink alcohol.  <BR>\n" );
document.write( "b. Interpret results.<BR>\n" );
document.write( "This is what I came up with:<BR>\n" );
document.write( "N=1516, x=985 and n-x=531 Both x and n-x are at least 5<BR>\n" );
document.write( "985/1516=0.6497; za/2=z0.025=1.96<BR>\n" );
document.write( "(a) 0.6497-1.96sqrt0.6497(1-0.6497)/1516 to 0.6497+1.96sqrt0.6497<BR>\n" );
document.write( ")/1516=6.35,0079<BR>\n" );
document.write( "(b) we can be 95% confident that the proprotion of adults who drink alcohol is somewhere between those numbers.<BR>\n" );
document.write( "Thank you for any help you can give me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251604 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would like to know if I did the problem correctly:<BR>\n" );
document.write( "Percentage of adults who drink alcohol. Of the 1516 adults interviewed, 985 said that they drank.<BR>\n" );
document.write( "a. Determine a 95% confidnce interval for the proportion, p, of all Americans who drink alcohol. <BR>\n" );
document.write( "b. Interpret results.<BR>\n" );
document.write( "This is what I came up with:<BR>\n" );
document.write( "N=1516, x=985 and n-x=531 Both x and n-x are at least 5\r<BR>\n" );
document.write( "\n" );
document.write( "985/1516=0.6497; za/2=z0.025=1.96<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "p-hat = 0.6497<BR>\n" );
document.write( "E = 1.96sqrt(0.6497*(1-0.5497)/1516) = 0.0240<BR>\n" );
document.write( "95%CI: 0.6497-0.0240 < p < 0.6497+0.0240<BR>\n" );
document.write( "95%CI: 0.6257 < p < 0.6737<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(a) 0.6497-1.96sqrt0.6497(1-0.6497)/1516 to 0.6497+1.96sqrt0.6497<BR>\n" );
document.write( ")/1516=6.35,0079\r<BR>\n" );
document.write( "\n" );
document.write( "(b) we can be 95% confident that the proportion of adults who drink alcohol is somewhere between 0.6257 and 0.6737.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );