document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133949>Question 1133949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the sample data and confidence level given below to complete parts​ (a) through​ (d).<BR>\n" );
document.write( "A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 1011 and x equals 582 who said​ \"yes.\" Use a 90 % confidence level.\r<BR>\n" );
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document.write( "​a) Find the best point estimate of the population proportion p.<BR>\n" );
document.write( "​(Round to three decimal places as​ needed.)<BR>\n" );
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document.write( "​b) Identify the value of the margin of error E =<BR>\n" );
document.write( "(Round to three decimal places as​ needed.)\r<BR>\n" );
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document.write( "​c) Construct the confidence interval.<BR>\n" );
document.write( "​(Round to three decimal places as​ needed.)\r<BR>\n" );
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document.write( "​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.<BR>\n" );
document.write( "A.<BR>\n" );
document.write( "One has 99​% confidence that the sample proportion is equal to the population proportion.<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "There is a 99​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.<BR>\n" );
document.write( "99​% of sample proportions will fall between the lower bound and the upper bound.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751239 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=751239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x bar is 582/1011=0.576 point estimate<BR>\n" );
document.write( "error is z(0.95)*sqrt(p*(1-p)/n)=1.645*sqrt(0.000242)=0.026<BR>\n" );
document.write( "the 90%CI is (0.550, 0.602)<BR>\n" );
document.write( "One has 99% confidence that the true value of the population mean falls in this interval. A is wrong because it has to do with the parameter, not the statistic.  B uses \"chance,\" not confidence, and is wrong.<BR>\n" );
document.write( "C is correct.<BR>\n" );
document.write( "D, if that is truly D, is not correct.  99% of the confidence intervals constructed will contain the true population interval, but one doesn't know which 99. </SPAN>\n" );
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