Question

AP Tests:

The effort to reward city students for passing Advanced Placement tests is part of a growing trend nationally and internationally. Financial incentives are offered in order to lift attendance and achievement rates. One such program in Dallas, Texas offers $100 for every AP test on which a student scores a three or higher. A wealthy entrepreneur decides to experiment with the same idea of rewarding students to enhance performance, but in Chicago. He offers monetary incentives to students at an inner-city high school. He takes a random sample of 122 students who took the AP tests. Twelve tests are scored at 5, the highest possible score. There are 60 tests with scores of 3 or 4, and 50 tests with failing scores of 1 or 2. Historically, of tests that are taken at this school each year, 8% score 5, 38% score 3 or 4, and the remaining are failing scores of 1 or 2.

incase you need previous info, i post all questions on, but you first need to answer part d. thx!

1. a) Provide a table showing the percentages of students at each score level before and after the

   monetary incentive. Discuss what you are seeing.

2. b) Althoughwemayseeadifferenceinpercentageswewillneedtoshowthechangeisstatistically

   significant. Conduct a hypothesis test that determines, at the 5% significance level, whether the monetary incentive has resulted in a higher proportion of scores of 5, the highest possible score. Show all your work and thoroughly describe your steps.

3. c) Conduct a hypothesis test that determines if the monetary incentive has decreased the proportion of failing scores of 1 and 2. Use a 5% significance level. Show all your work and thoroughly describe your steps.

4. d) Assestheeffectivenessofmonetaryincentivesinimprovingstudentachievement.

Answer 1