2 Five runners, A, B. C. D and E, take part in two different races. Spearman's rank correlation coefficient for the orders in which the runners finish is calculated and a test for positive agreement is carried out at the 5% significance level. (a) State suitable hypotheses for the test. [1] (b) Find the largest possible value of Ed' for which the result of the test is to reject the null hypothesis. [3] (c) In the first race, the order in which the five runners finished was: A, B. C, D. E. In the second race, three of the runners finished in the same positions as in the first race. The result of the test is to reject the null hypothesis. Find a possible order for the runners to finish in the second race. [3]