document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137037>Question 137037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)School planners in 1995 gave the following planning estimates for the growth of the student population for the next 9 years.  Perform a goodness of fit to see if their estimates were accurate.\r<BR>\n" );
document.write( "\n" );
document.write( "Planning Year<BR>\n" );
document.write( "Actual Size<BR>\n" );
document.write( "Expected <BR>\n" );
document.write( "Size<BR>\n" );
document.write( "1Planning Year<BR>\n" );
document.write( "798Actual Size<BR>\n" );
document.write( "798Expected Size<BR>\n" );
document.write( "2Planning Year<BR>\n" );
document.write( "876Actual Size\r<BR>\n" );
document.write( "\n" );
document.write( "872Expected Size<BR>\n" );
document.write( "3Planning Year<BR>\n" );
document.write( "950Actual Size<BR>\n" );
document.write( "955Expected Size<BR>\n" );
document.write( "4Planning Year<BR>\n" );
document.write( "1044Actual Size<BR>\n" );
document.write( "1046Expected Size<BR>\n" );
document.write( "5Planning Year<BR>\n" );
document.write( "1025Actual Size<BR>\n" );
document.write( "1144Expected Size<BR>\n" );
document.write( "6Planning Year<BR>\n" );
document.write( "1232Actual Size<BR>\n" );
document.write( "1254Expected Size<BR>\n" );
document.write( "7Planning Year<BR>\n" );
document.write( "1477Actual Size<BR>\n" );
document.write( "1371Expected Size<BR>\n" );
document.write( "8Planning Year<BR>\n" );
document.write( "1531Actual Size<BR>\n" );
document.write( "1503Expected Size<BR>\n" );
document.write( "9Planning Year<BR>\n" );
document.write( "1655Actual Size<BR>\n" );
document.write( "1645Expected Size\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100281 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=100281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a cumbersome problem.<BR>\n" );
document.write( "Hopefully you have a calculator with Ch-Sq capability.<BR>\n" );
document.write( "Build a matrix.<BR>\n" );
document.write( "Let the actual values be the 1st row<BR>\n" );
document.write( "Let the expected values be the 2nd row.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Run a Ch-Sq Test to generate the test statistic and the p-value.<BR>\n" );
document.write( "Compare the p-value and the significance level.<BR>\n" );
document.write( "Draw a conclusion.<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );