A computer training group would like to compare theeffectiveness of two modes of training. The first mode of trainingis a short 20 minute interactive one-on-one tutorial with theparticipant and the second mode is a one hour video that theparticipant watches.
A random sample of 100 people are invited to take part in thetutorial, which is followed by a test to measure competency at thetasks covered. The proportion of people that pass this test (to 2decimal places) is 0.36. Similarly, a random sample of 175 peopleare invited to watch the video, which is also followed by the sametest. The proportion of people that pass this test (to 2 decimalplaces) is 0.48.
Let Pi symbol1 denote the population proportion of people thatwould pass the competency test after taking the tutorial.Similarly, let Pi symbol2 denote the population proportion ofpeople that would pass the competency test after watching thevideo.
Construct a 95% confidence interval for the difference betweenthese two proportions (Pi symbol1 - Pi symbol2). Give your answersto 3 decimal places. You may find this standard normal tableuseful.
≤ Pi symbol1 - Pi symbol2 ≤
