AP Tests: The effort to reward city students for passing Advanced Placement tests is part of a...

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AP Tests:

The effort to reward city students for passing AdvancedPlacement tests is part of a growing trend nationally andinternationally. Financial incentives are offered in order to liftattendance and achievement rates. One such program in Dallas, Texasoffers $100 for every AP test on which a student scores a three orhigher. A wealthy entrepreneur decides to experiment with the sameidea of rewarding students to enhance performance, but in Chicago.He offers monetary incentives to students at an inner-city highschool. He takes a random sample of 122 students who took the APtests. Twelve tests are scored at 5, the highest possible score.There are 60 tests with scores of 3 or 4, and 50 tests with failingscores of 1 or 2. Historically, of tests that are taken at thisschool each year, 8% score 5, 38% score 3 or 4, and the remainingare failing scores of 1 or 2.

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

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

    monetary incentive. Discuss what you are seeing.

  2. b)Althoughwemayseeadifferenceinpercentageswewillneedtoshowthechangeisstatistically

    significant. Conduct a hypothesis test that determines, at the5% significance level, whether the monetary incentive has resultedin 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 monetaryincentive has decreased the proportion of failing scores of 1 and2. Use a 5% significance level. Show all your work and thoroughlydescribe your steps.

  4. d)Assestheeffectivenessofmonetaryincentivesinimprovingstudentachievement.

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