document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287179>Question 287179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose we want to test null hypothesis H0:&#956; =400 against H1:&#956; <400. The test statistic is calculated as -1.23 and two-tailed critical value is 1.96. The appropriate p-value will be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208204 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=208204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose we want to test null hypothesis H0:&#956; =400 against H1:&#956; <400. The test statistic is calculated as -1.23 and two-tailed critical value is 1.96. The appropriate p-value will be?<BR>\n" );
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document.write( "Comment: With H1: u <400 you do not have a two-tailed test; you have <BR>\n" );
document.write( "a left tailed test.  The p-value would be the area to the left of <BR>\n" );
document.write( "the test statistic.<BR>\n" );
document.write( "P(z< -1.23) = normalcdf(-100,-1.23) = 0.1093<BR>\n" );
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document.write( "I used a TI calculator.<BR>\n" );
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document.write( "The problem would require a two-tailed test if H1 was \"u is not equal<BR>\n" );
document.write( "to 400\".  In that case the p-value would be 2*P(z<1.23) = 0.2187<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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