document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206942>Question 1206942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of n = 900 observations from a binomial population produced x = 691 successes.<BR>\n" );
document.write( "Give the best point estimate for the binomial proportion p. (Round your answer to three decimal places.)<BR>\n" );
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document.write( "Calculate the 95% margin of error. (Round your answer to three decimal places.)<BR>\n" );
document.write( "You may need to use the appropriate appendix table to answer this question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844729 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is what i get from what i know.\r<BR>\n" );
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document.write( "p = 691/900 = probability of success = population mean proportion.<BR>\n" );
document.write( "q = 209/900 = probability of failure.<BR>\n" );
document.write( "s = sqrt*(p*q)/900) = .014075 = standard error.\r<BR>\n" );
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document.write( "critical z-score at 95% two-tail confidence interval = plus or minus 1.96.\r<BR>\n" );
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document.write( "the critical raw score (value of x in the formula) on the high side of the two tail confidence interval is found by the formula of z = (x-m)/s which becomes 1.96 = (x-691/900)/.014075.<BR>\n" );
document.write( "solve for x to get x = 1.96 * .014075 + 691/900 = .7953647777.\r<BR>\n" );
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document.write( "the critical raw score (value of x in the formula) on the low side of the two tail confidence interval is found by the formula of z = (x-m)/s which becomes -1.96 = (x-691/900)/.014075.<BR>\n" );
document.write( "solve for x to get x = -1.96 * .014075 + 691/900 = .7401907778.\r<BR>\n" );
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document.write( "round to 3 decimal places and your 95% confidence interval is from .740 to .795.\r<BR>\n" );
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document.write( "here's what it looks like on a z-score graphing calculator.\r<BR>\n" );
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document.write( "691/900 is equal to .76777..... which is the mean.<BR>\n" );
document.write( ".014075 is equal to sqrt(691/900 * 209/900) / 900) which is the standard errror.\r<BR>\n" );
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document.write( "the margin of error was calculated to be (x-m) from the high side of the confidence interval which was .7953647777 minus .7677777778 = .0275869999.\r<BR>\n" );
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document.write( "the margin of error from the low side of the confidence interval is the same.\r<BR>\n" );
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