document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131362>Question 131362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a student seeking assistance with a statistics problem, with which I am honestly struggling...have done well so far in this course but am not grapsing this one problem.  Hope you can help. <BR>\n" );
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document.write( "It is as follows: <BR>\n" );
document.write( "Suppose a regression output produces the following 99% confidence interval for <BR>\n" );
document.write( "one of the regression coefficients: <BR>\n" );
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document.write( "[-32.47, -16.88] <BR>\n" );
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document.write( "Given this information, should an analyst reject the null hypothesis that this <BR>\n" );
document.write( "population regression coefficient is equal to 0? Explain your answer. <BR>\n" );
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document.write( "So far, this is the direction I've taken, but for some reason, I am stumped.\r<BR>\n" );
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document.write( "Regression Coefficient			-32.47	<BR>\n" );
document.write( "Confidence Level 			99%	<BR>\n" );
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document.write( "Compute alpha (&#945;): &#945; = 1 - (confidence level/100)				<BR>\n" );
document.write( "&#945; = 1 - (99/100)				<BR>\n" );
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document.write( "Find critical probability (p*): p*=1-&#945;/2				<BR>\n" );
document.write( "p* = 1- 0.01/2				<BR>\n" );
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document.write( "Compute margin of error = critical value x standard error of statistic				<BR>\n" );
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document.write( "Find t-score (&#945;-(confidence level/100))				<BR>\n" );
document.write( "t-score = 1-0.099				\r<BR>\n" );
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document.write( "Find critical probability (p*): p*=1-&#945;/2				<BR>\n" );
document.write( "p* = 1- 0.01/2			0.995	\r<BR>\n" );
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document.write( "Calculate the t-value (Assume a mean of 0 and stad deviation of 1)				<BR>\n" );
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document.write( "t-value = 	X-&#956;0		2.575829304	Assume mean of 0, standard deviation of 1<BR>\n" );
document.write( "	s/&#8730;n			<BR>\n" );
document.write( "NORMINV(0.995,0,1) = 2.58				\r<BR>\n" );
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document.write( "Your help will be greatly appreciated. Would you let me know how much I would <BR>\n" );
document.write( "owe you for the assistance? <BR>\n" );
document.write( "Thanks! <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 #95889 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is as follows: <BR>\n" );
document.write( "Suppose a regression output produces the following 99% confidence interval for <BR>\n" );
document.write( "one of the regression coefficients: \r<BR>\n" );
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document.write( "[-32.47, -16.88] \r<BR>\n" );
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document.write( "Given this information, should an analyst reject the null hypothesis that this <BR>\n" );
document.write( "population regression coefficient is equal to 0? Explain your answer. <BR>\n" );
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document.write( "Yes, he can reject that hypothesis with 99% confidence because zero is<BR>\n" );
document.write( "not in the 99% confidence interval.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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