document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170052>Question 1170052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are performing a two-tailed test with test statistic z = 2.75, find the p-value to 4 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795200 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=795200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the p-value to the left of the z-score is .9970201814\r<BR>\n" );
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document.write( "the p-value to the right of the z-score is 1 minus that = .0029798186.\r<BR>\n" );
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document.write( "round to 4 decimal places, and .....\r<BR>\n" );
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document.write( "the p-value to the left is .9970 and the p-value to the right is .0030.\r<BR>\n" );
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document.write( "i used the ti-84 plus to get these values.\r<BR>\n" );
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document.write( "if you use an online calculator like the one found at <a  rel=nofollow HREF= \"\" target = \"_blank\"></a>, it will tell you .....\r<BR>\n" );
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document.write( "that the area to the left of the z-score = 0.99702 which can be rounded to 4 decimal places to = .9970.\r<BR>\n" );
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document.write( "that the area to the right of the z-score = 0.0029798 which can be rounded to 4 decimal places to = .0030.\r<BR>\n" );
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document.write( "it depends on the critical z-score / critical alpha of your study to determine if the results are significant or not.\r<BR>\n" );
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document.write( "at 90% two tailed confidence level, the alpha on each end is .05 and the critical z-score is plus or minus plus or minus 1.65.\r<BR>\n" );
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document.write( "the results will be significant at the 90% confidence level.\r<BR>\n" );
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document.write( "at 95% two tailed confidence level, the alpha on each end is .025 and the critical z-score is plus or minus 1.96.\r<BR>\n" );
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document.write( "the results will be significant at the 95% confidence level.\r<BR>\n" );
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document.write( "at 99% two tailed confidence level, the alpha on each end is .005 and the critical z-score is plus or minus plus or minus 2.576.\r<BR>\n" );
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document.write( "the results will be significant at the 99% confidence level.\r<BR>\n" );
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document.write( "99% confidence level is usually about high as they go.<BR>\n" );
document.write( "a z-score of 2.75 and a p-value of .003 exceed those limits.<BR>\n" );
document.write( "2.75 is greater than 2.576 and .003 is less than .005.\r<BR>\n" );
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document.write( "if it exceed the limits at 99% confidence level, it will exceed the limits of any confidence level below that.\r<BR>\n" );
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document.write( "here are the results of the analysis using the z-score referenced above.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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