document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181417>Question 181417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a practice worksheet no book.  Sorry\r<BR>\n" );
document.write( "\n" );
document.write( "CHI Square\r<BR>\n" );
document.write( "\n" );
document.write( "Students in grades 4-6 were asked whether good grades, athletic ability, or popularity was important to them. A two way table separating the students by grade and choice or most important factor is shown below\"\r<BR>\n" );
document.write( "\n" );
document.write( "                    Grade<BR>\n" );
document.write( "Goals     4   5   6   Total<BR>\n" );
document.write( "____________________________<BR>\n" );
document.write( "Grades   49   50   69   168<BR>\n" );
document.write( "Popular   24   36   38   98<BR>\n" );
document.write( "Sports   19   22   28     69<BR>\n" );
document.write( "_____________________________<BR>\n" );
document.write( "Total   92   108   135   335\r<BR>\n" );
document.write( "\n" );
document.write( "a. State the null and alternate hypothesis.<BR>\n" );
document.write( "Ho:________ H1:__________\r<BR>\n" );
document.write( "\n" );
document.write( "b.  State the decision rule.<BR>\n" );
document.write( "____________________________________________________<BR>\n" );
document.write( "c.  Compute the value of the test statistic.  For Chi Square first calculate the expected values. \r<BR>\n" );
document.write( "\n" );
document.write( "           Original Table<BR>\n" );
document.write( "                Grade\r<BR>\n" );
document.write( "\n" );
document.write( "Goals    4    5    6    Total<BR>\n" );
document.write( "______________________________<BR>\n" );
document.write( "Grades   49   50   69   168<BR>\n" );
document.write( "Popular  24   36   38    98<BR>\n" );
document.write( "Sports   19   22   28    69<BR>\n" );
document.write( "____________________________<BR>\n" );
document.write( "Total    92  108  135   335\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "calculate the expected values.\r<BR>\n" );
document.write( "\n" );
document.write( "?                         2<BR>\n" );
document.write( " 2   (observed - expected)<BR>\n" );
document.write( "X =   ___________________   calculate\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d.  compute P value\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e.  What is your decision reguarding the null hypothesis?<BR>\n" );
document.write( "        expected<BR>\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 #136022 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=136022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "CHI Square <BR>\n" );
document.write( "Students in grades 4-6 were asked whether good grades, athletic ability, or popularity was important to them. A two way table separating the students by grade and choice or most important factor is shown below\" <BR>\n" );
document.write( "Grade<BR>\n" );
document.write( "Goals 4 5 6 Total<BR>\n" );
document.write( "____________________________<BR>\n" );
document.write( "Grades 49 50 69 168<BR>\n" );
document.write( "Popular 24 36 38 98<BR>\n" );
document.write( "Sports 19 22 28 69<BR>\n" );
document.write( "_____________________________<BR>\n" );
document.write( "Total 92 108 135 335 <BR>\n" );
document.write( "a. State the null and alternate hypothesis.<BR>\n" );
document.write( "Ho:The row and column factors are independent <BR>\n" );
document.write( "H1:The row and column factors are dependent<BR>\n" );
document.write( "-------------------------------------------------- <BR>\n" );
document.write( "b. State the decision rule.<BR>\n" );
document.write( "Reject Ho if test stat is > critical value or if P-value is < alpha<BR>\n" );
document.write( "____________________________________________________<BR>\n" );
document.write( "c. Compute the value of the test statistic. <BR>\n" );
document.write( "For Chi Square first calculate the expected values. <BR>\n" );
document.write( "Original Table<BR>\n" );
document.write( "Grade <BR>\n" );
document.write( "Goals 4 5 6 Total<BR>\n" );
document.write( "______________________________<BR>\n" );
document.write( "Grades 49 50 69 168<BR>\n" );
document.write( "Popular 24 36 38 98<BR>\n" );
document.write( "Sports 19 22 28 69<BR>\n" );
document.write( "____________________________<BR>\n" );
document.write( "Total 92 108 135 335 \r<BR>\n" );
document.write( "\n" );
document.write( "calculate the expected values.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Not sure what you are looking for here.<BR>\n" );
document.write( "Running a Chi-square generates a 3x3 expected value matrix<BR>\n" );
document.write( "where each matrix-element value is (row sum/total sum)*(column sum) <BR>\n" );
document.write( "? 2<BR>\n" );
document.write( "2 (observed - expected)<BR>\n" );
document.write( "X = ___________________ calculate <BR>\n" );
document.write( "---------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "d. compute P value<BR>\n" );
document.write( "p-value = 0.824 = 82.4%<BR>\n" );
document.write( "----------------------------- \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e. What is your decision reguarding the null hypothesis?<BR>\n" );
document.write( "Since p-value is < alpha, Fail to reject Ho.<BR>\n" );
document.write( "The row and column factors are independent.<BR>\n" );
document.write( "===================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );