document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133948>Question 1133948</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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751256 by </B><A HREF=/tutors/aboutme.mpl?userid=Glaviolette><B>Glaviolette(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Glaviolette><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=Glaviolette><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For part A, the point estimate is the observed or sample proportion.\r<BR>\n" );
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document.write( "For part B, the margin of error is calculated using the z-score that corresponds to a 90% confidence level which is estimated to be 1.645.  This is multiplied by the sq rt of p-hat, q-hat (observed failures proportion) divided by n\r<BR>\n" );
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document.write( "For part C, the margin of error is subtracted from and added to the observed proportion.\r<BR>\n" );
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document.write( "For part D, C is the correct interpretation.\r<BR>\n" );
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