A group of parents wanted to find out whether tuition has an impact on the Mathematics grades of their children. The performance in Mathematics was classified into three categories (below average, average and above average). The results of 100 students are summarised in the table below: Performance in Mathematics Number of students Below Above Average TOTAL average average With tuition 18 29 16 63 Without tuition TOTAL 12 11 14 37 30 40 30 100 a. Based on the data in the table, and without conducting a significance test, how would you describe the relationship between tuition and performance in Mathematics. b. Calculate the x statistic and use it to test for independence between tuition and performance in Mathematics, using a 5% significance level. What do you conclude?