In: Math
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 100 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 0.36. Similarly, a random sample of 175 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 Pi symbol1 denote the population proportion of people that would pass the competency test after taking the tutorial. Similarly, let Pi symbol2 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 (Pi symbol1 - Pi symbol2). Give your answers to 3 decimal places. You may find this standard normal table useful.
≤ Pi symbol1 - Pi symbol2 ≤