- A 4 16 Marks In Order To Test The Effectiveness Of A New Weight Loss Programme A Sample Of 15 Obese Subjects Who Par 1 (66.23 KiB) Viewed 27 times
a 4. (16 marks) In order to test the effectiveness of a new weight loss programme, a sample of 15 obese subjects who participated in the new programme was randomly selected. Their weights before and after the new programme are shown in the following table. Before 116.3 118.1 After 140.4 121.4 Before 119.3 103.2 After 93.8 94.6 New Programme 102.5 118.3 112.6 102.0 105.6 110.9 119.2 111.3 102.7 103.0 94.2 111.6 103.2 121.2 123.4 119.1 109.7 113.8 106.2 98.4 119.8 116.0 (a) Construct a 95% confidence interval of the proportion of subjects who lost weights after the new programme. (4 marks) (b) Test that more than half of the subjects who participated in the new programme lost their weights. (8 marks) (c) Find the p-value of the test statistics in (b). (4 marks)