document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127983>Question 1127983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in serious need of help. How do i build a 95% confidence interval with only just orange M&M's?     Number of M&Ms					<BR>\n" );
document.write( "---------------------------					<BR>\n" );
document.write( "ORANGE		TOTAL			<BR>\n" );
document.write( "6		20			<BR>\n" );
document.write( "5		17			<BR>\n" );
document.write( "3		17			<BR>\n" );
document.write( "1		17			<BR>\n" );
document.write( "5		19			<BR>\n" );
document.write( "6		18			<BR>\n" );
document.write( "2		20			<BR>\n" );
document.write( "4		19			<BR>\n" );
document.write( "6		18			<BR>\n" );
document.write( "3		20			<BR>\n" );
document.write( "6		17			<BR>\n" );
document.write( "3		16			<BR>\n" );
document.write( "4		18			<BR>\n" );
document.write( "3		17			<BR>\n" );
document.write( "5		17			<BR>\n" );
document.write( "5		18			<BR>\n" );
document.write( "4		19			<BR>\n" );
document.write( "3		19			<BR>\n" );
document.write( "4		20			<BR>\n" );
document.write( "2		17			<BR>\n" );
document.write( "4		18			<BR>\n" );
document.write( "7		19			<BR>\n" );
document.write( "4		18			<BR>\n" );
document.write( "6		19			<BR>\n" );
document.write( "5		18			<BR>\n" );
document.write( "---------------------------					<BR>\n" );
document.write( "106		455			<BR>\n" );
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document.write( "				p-hat =	0.23<BR>\n" );
document.write( "				n =	455<BR>\n" );
document.write( "					<BR>\n" );
document.write( "					<BR>\n" );
document.write( "Construct the 95% confidence interval around the true population porportion of orange colored M&Ms in a fun-sized bag of plain M&Ms.					<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 #744465 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "For the standard normal distribution there is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95 ALIGN=MIDDLE  ALT=\"95\"   DISABLED_style= \"max-width:90%; height:auto;\" >% probability that a standard normal variable, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   DISABLED_style= \"max-width:90%; height:auto;\" >, will fall between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.96 ALIGN=MIDDLE  ALT=\"-1.96\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.96 ALIGN=MIDDLE  ALT=\"1.96\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "In other words,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-1.96+%3CZ%3C+1.96%29=0.95 ALIGN=MIDDLE  ALT=\"P%28-1.96+%3CZ%3C+1.96%29=0.95\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-hat+=0.23 ALIGN=MIDDLE  ALT=\"p-hat+=0.23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=455 ALIGN=MIDDLE  ALT=\"n+=455\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-hat%2B-Z%2Asqrt%28p-hat%281-p-hat%29%2Fn%29 ALIGN=MIDDLE  ALT=\"p-hat%2B-Z%2Asqrt%28p-hat%281-p-hat%29%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-1.96%2Asqrt%28%280.23%281-0.23%29%29%2F455%29 ALIGN=MIDDLE  ALT=\"0.23%2B-1.96%2Asqrt%28%280.23%281-0.23%29%29%2F455%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-1.96%2Asqrt%28%280.23%2A0.77%29%2F455%29 ALIGN=MIDDLE  ALT=\"0.23%2B-1.96%2Asqrt%28%280.23%2A0.77%29%2F455%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-1.96%2Asqrt%280.1771%2F455%29 ALIGN=MIDDLE  ALT=\"0.23%2B-1.96%2Asqrt%280.1771%2F455%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-1.96%2Asqrt%280.00038923076923%29 ALIGN=MIDDLE  ALT=\"0.23%2B-1.96%2Asqrt%280.00038923076923%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-1.96%2A0.019728932288 ALIGN=MIDDLE  ALT=\"0.23%2B-1.96%2A0.019728932288\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B-0.03866870728448 ALIGN=MIDDLE  ALT=\"0.23%2B-0.03866870728448\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23%2B0.03866870728448=+0.2686679968 ALIGN=MIDDLE  ALT=\"0.23%2B0.03866870728448=+0.2686679968\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.23-0.03866870728448=+0.1913320032 ALIGN=MIDDLE  ALT=\"0.23-0.03866870728448=+0.1913320032\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Confidence Interval is:  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1913320032 ALIGN=MIDDLE  ALT=\"0.1913320032\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.2686679968 ALIGN=MIDDLE  ALT=\"+0.2686679968\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );