2012 AP Stats Project (1)
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2012 AP Stats Project (1)

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My AP Statistics students complete a project on statistical inference at the end of the school year. My goal is to also conduct a project myself each year in order to model proper techniques for my ...

My AP Statistics students complete a project on statistical inference at the end of the school year. My goal is to also conduct a project myself each year in order to model proper techniques for my students. This year, my project was on the popularity of The Avengers.

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2012 AP Stats Project (1) 2012 AP Stats Project (1) Presentation Transcript

  • Avengers Assembled BY: Mr. Yip 2012
  • 93%(2012)
  • CaptainAmerica(Steve Rogers)
  • 79%(2011)
  • Thor(God of Thunder)
  • 77%(2011)
  • Hawkeye(Clint Barton)
  • Ironman(Tony Stark)
  • 94%(2008)
  • 74%(2010)
  • BlackWidow(Natasha Romanoff)
  • Hulk(Bruce Banner)
  • 66%(2008)
  • The Hypotheses # 1H0: Students have no preference for an avenger.Ha: Students have a preference for an avenger.
  • The Survey
  • Conditions for Chi-SquareRandomLarge Sample SizeIndependent
  • Male students n = 59 Observed15 6 13 5 4 16 Expected9.83 9.83 9.83 9.83 9.83 9.83
  • Results for Male Students  14.93 2p  value  0.011df  5Conclude:Male students have a preference.
  • Female students n = 79 Observed 2 22 12 11 3 29 Expected13.2 13.2 13.2 13.2 13.2 13.2
  • Results for Female Students  42.76 2p  value  0.000df  5Conclude:Female students have a preference.
  • The Hypotheses # 2H0: Avenger selection and gender are independent.Ha: Avenger selection and gender are not independent.
  • All students n = 138 ObservedM 15 6 13 5 4 16F 2 22 12 11 3 29
  • All students n = 138 Expected 7.27 11.97 10.69 6.84 2.99 19.24M 9.73 16.03 14.31 9.16 4.08 25.76F
  • All students n = 138 Observed (Expected) 15 6 13 5 16M (7.14) (11.76) (10.50) (6.72) (18.89) 2 22 12 11 29F (9.86) (16.24) (14.50) (9.28) (26.11)
  • Chi-Square Test for Independence   22.337 2 p  value  0 df  4Conclude:There is an association betweengender and avenger preference!
  • Potential Errors
  • Thank you !!!Avengers Assembled BY: Mr. Yip 2012