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 64 people are invited to take part in the tutorial, which is followed by a test to measure competency at the tasks covered. The number of people that pass this test is 38. Similarly, a random sample of 55 people are invited to watch the video, which is also followed by the same test. The number of people that pass this test is 24.

Let₁denote the population proportion of people that would pass the competency test after taking the tutorial. Similarly, let₂denote 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(₁-₂). Give your answers to 3 decimal places. You may find thisstandard normal tableuseful.

___________₁-₂____________