A computer training group would like to compare the effectiveness of two modes of training. The first mode of training is a short 20 minute interactive one-on-one tutorial with the participant and the second mode is a one hour video that the participant watches. A random sample of 150 people are invited to take part in the tutorial, which is followed by a test to measure competency at the tasks covered. The proportion of people that pass this test (to 2 decimal places) is 0.56. Similarly, a random sample of 125 people are invited to watch the video, which is also followed by the same test. The proportion of people that pass this test (to 2 decimal places) is 0.48. Let 'lI1 denote the population proportion of people that would pass the competency test after taking the tutorial. Similarly, let 11:2 denote the population proportion of people that would pass the competency test after watching the video. Construct a 95% confidence interval for the difference between these two proportions (1I1 - 1112). Give your answers to 3 decimal places. You may nd this standard normal table useful. sm-rrzs