document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703328>Question 703328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> four more than two times a number is eight less than six times the same number . What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433439 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Type I error is incorrectly rejecting a null hypothesis that is actually true.  Example: Someone makes the claim that the mean rejection rate of hypertel blivots manufactured on Tuesday is 2 rejections per 100 manufactured.  You perform an analysis of the data and conclude that the actual mean rejection rate is different than 2 per 100 by a statistically significant amount so you reject the null hypothesis that the mean is actually equal to 2 per 100.  However, the mean actually IS 2 per 100.  Therefore you have made a Type I error.\r<BR>\n" );
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document.write( "Type II error is incorrectly accepting a null hypothesis that is actually false. In the above example, you make the same null hypothesis and perform the analysis.  Your analysis leads you to accept the 2 per 100 mean, but the mean rejection rate is actually different from 2 per 100.\r<BR>\n" );
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document.write( "Note, neither of thes errors necessarily has anything to do with whether or not you performed the mathematics correctly.  Incorrect analysis and/or mathematics COULD be a source of either type of error, but so could random errors in your data sampling.\r<BR>\n" );
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document.write( "You can also say that a Type I error (aka error of the first kind) is the same as convicting an innocent person, while a Type II error (aka error of the second kind) is the same as letting a guily person go free.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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