document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884233>Question 884233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider the hypothesis test with\r<BR>\n" );
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document.write( "Null hypothesis H0: u= 500<BR>\n" );
document.write( "alternative hypothesis H1 u not equal 500 (this is two-tailed test)\r<BR>\n" );
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document.write( "In a random sample of 81 subjects, the sample mean found to be x=492.  Population standard deviation is 36.\r<BR>\n" );
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document.write( "1. Calculate test statistics and find p-value for this test <BR>\n" );
document.write( "2. With significance level a=0.02 (two tail test) make the decision: accept or reject H0.  Explain your decision. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534100 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=534100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> test assumption is that the mean is not equal to 500.<BR>\n" );
document.write( "sample size = 81<BR>\n" );
document.write( "sample mean = 492<BR>\n" );
document.write( "population standard deviation = 36.\r<BR>\n" );
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document.write( "standard error = population standard deviation divided by square root of sample size = 36 / sqrt(81) = 36/9 = 4\r<BR>\n" );
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document.write( "z score = (sample mean minus popjulation mean) / standard error = (492 - 500) / 4 = -8/4 = -2\r<BR>\n" );
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document.write( "test alpha = .0228 from the z score table.  this is the area under the distribution curve that is to the left of a z score of -2.\r<BR>\n" );
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document.write( "since the critical alpha = .02 and the test alpha is greater than this, the results are not  statistically significant and you do not reject the null hypothesis in favor of the alternate hypothesis.\r<BR>\n" );
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document.write( "z score table used can be found at the following link:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://lilt.ilstu.edu/dasacke/eco148/ztable.htm\" target = \"_blank\">http://lilt.ilstu.edu/dasacke/eco148/ztable.htm</a> </SPAN>\n" );
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