184 patients with coronavirus have been hospitalised in the city hospital. 92 have been treated with anti-viral medication and 92 have not. Perform a hypothesis test to determine if there is an association between patients being given anti-viral drugs and developing pneumonia. Use a 5% level of significance. The observed values are presented in the table below. Anti-viral Drug Treatment With drugs No drugs given Total Pneumonia 46 No pneumonia 61 138 Total 92 92 184 (a) Fill the expected values in the table below. (4 marks) Anti-viral Drug Treatment With drugs No drugs given Total Pneumonia 46 No pneumonia 138 Total 92 92 184 (b) Fill in the two missing x values. (state values accurate to 4dp) (2 marks) Contributions to the x test statistic With drugs No drugs given Pneumonia 2.7826 No pneumonia 0.9275 (c) Calculate the test-statistic. (state accurate to 2dp) (1 mark) X = Look up the critical value from tables. (d) (state to 3dp as given in tables) Reject Ho if X "> (1 mark) (e) Ho. There is evidence to indicate that there is a relationship between drug treatment and pneumonia. (2 marks)