Question 6 [4 marks} Below you are shown the number of goals the opposing team to the Canterbury Tactix scored in the 15 games of the 2022 regular season_ Comparing this to the goals scored by the Canterbury Tactix (given in Question 5), you will find the Tactix won five of their 15 regular season games. 71 57 54 56 49 69 63 58 52 70 48 56 62 57 51 a) State an appropriate alternative hypothesis (HA ), if the null hypothesis is that the Tactix are of equal skill to their Opponents (H0 : \"Tactix win = 0H5) b) Outline how you would perform a permutation test for these data, with the test statistic being the number of games the Tactix win. c) Below you are shown the test statistic distribution from a permutation test where N = 9999 permutations of the paired sample was performed. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 9 19 106 443 915 1582 1919 1927 1582 916 408 135 30 7 0 Use these results to calculate a p-value to test the specified hypothesis and interpret the result. Assume a = 0.10