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 #598077 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) We are 95% confident that the proportion of adult Americans who would be bothered to stay in a room on the 13th floor is between 0.10 and 0.16. \r<BR>\n" );
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document.write( "Yes, this is the answer\r<BR>\n" );
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document.write( "(b) We are between 92% and 98% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.\r<BR>\n" );
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document.write( "No, the 3% range applies to the data, not the confidence  level. <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 floor is between 0.10 and 0.16.\r<BR>\n" );
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document.write( "No, repeated sampling doesn't apply. \r<BR>\n" );
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document.write( "(d) We are 95% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.\r<BR>\n" );
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document.write( "No, where does the +/- 3% come in? \r<BR>\n" );
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document.write( "The wikipedia article on confidence level does a good job explaining this. https://en.wikipedia.org/wiki/Confidence_interval </SPAN>\n" );
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