The table below was compiled for a middle school from the 2003 English/Language Arts PACT exam. Grade 6 7 8 Below Basic 62 76 Basic 87 134 140 Proficient 87 102 100 Advanced 42 24 21 (a) Compute the likelihood ratio test statistic for a test of independence. Report the P-values and interpret (b) Partition the likelihood ratio test statistic into 6 independent 1 df components. What conclusions can you draw from these components? (c) Compute the Pearson statistics and use x? test to test independence. Report the P-values and interpret. (d) Use standardized residuals to describe the evidence of association. (e) Treat the variables "grade" and "English proficiency" as nominal variables and calculate the uncertainty coefficient. (f) Test whether there is a monotone relationship between English proficiency and grade using a = 0.05