4. (Seminar) A government official claims that on average more people die in hospital at the weekend than during the week. You proceed to analyse the official's data, which record counts of deaths at a hospital for different days: Stating all the statistical assumptions made, test the hypothesis (at a significance level of Week 1 Mon Tue Wed Thu Fri Sat Sun 15 11 16 16 21 24 20 Week 2 23 20 24 Week 3 23 21 19 Week 4 19 20 265 19 769 16 20 14 21 21 26 22 15 14 21 29 21 a = 0.05) that there is no difference in the average death counts during the week and at the weekend.