document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976486>Question 976486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 22. You Explain It! Superstition: A USA Today/Gallup poll asked 1,006 adult Americans how much it would bother them to stay in a room on the 13th &#64258;oor of a hotel. Interestingly, 13% said it would bother them. The margin of error was 3 percentage points with 95% con&#64257;dence. Which of the following represents a reasonable interpretation of the survey results? For those not reasonable,  explain the &#64258;aw.<BR>\n" );
document.write( "(a) We are 95% con&#64257;dent that the proportion of adult Americans who would be bothered to stay in a room on the 13th &#64258;oor is between 0.10 and 0.16.\r<BR>\n" );
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document.write( "(b) We are between 92% and 98% con&#64257;dent that 13% of adult Americans would be bothered to stay in a room on the 13th &#64258;oor.<BR>\n" );
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document.write( "(c) In 95% of samples of adult Americans, the proportion who would be bothered to stay in a room on the 13th &#64258;oor is between 0.10 and 0.16.<BR>\n" );
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document.write( "(d) We are 95% con&#64257;dent that 13% of adult Americans would be bothered to stay in a room on the 13th &#64258;oor.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598055 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=598055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is A.  <BR>\n" );
document.write( "B is wrong because that is confidence of a confidence.  We don't have that.<BR>\n" );
document.write( "D is wrong because it is an interval, not a point estimate.<BR>\n" );
document.write( "C is the closest to being right, but use of proportion has to be very carefully done.  I prefer to say that we don't know the exact proportion, but if we had 100 samples, 95% would contain the true proportion, whatever it is.  We wouldn't know which samples they were.  The problem with C is that it discusses the proportion in terms of an interval.  It has to discuss it in terms of a specific number or parameter. <BR>\n" );
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