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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 students. This year, my project was on the popularity of The Avengers.

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### 2012 AP Stats Project (1)

1. 1. Avengers Assembled BY: Mr. Yip 2012
2. 2. 93%(2012)
3. 3. CaptainAmerica(Steve Rogers)
4. 4. 79%(2011)
5. 5. Thor(God of Thunder)
6. 6. 77%(2011)
7. 7. Hawkeye(Clint Barton)
8. 8. Ironman(Tony Stark)
9. 9. 94%(2008)
10. 10. 74%(2010)
11. 11. BlackWidow(Natasha Romanoff)
12. 12. Hulk(Bruce Banner)
13. 13. 66%(2008)
14. 14. The Hypotheses # 1H0: Students have no preference for an avenger.Ha: Students have a preference for an avenger.
15. 15. The Survey
16. 16. Conditions for Chi-SquareRandomLarge Sample SizeIndependent
17. 17. Male students n = 59 Observed15 6 13 5 4 16 Expected9.83 9.83 9.83 9.83 9.83 9.83
18. 18. Results for Male Students  14.93 2p  value  0.011df  5Conclude:Male students have a preference.
19. 19. Female students n = 79 Observed 2 22 12 11 3 29 Expected13.2 13.2 13.2 13.2 13.2 13.2
20. 20. Results for Female Students  42.76 2p  value  0.000df  5Conclude:Female students have a preference.
21. 21. The Hypotheses # 2H0: Avenger selection and gender are independent.Ha: Avenger selection and gender are not independent.
22. 22. All students n = 138 ObservedM 15 6 13 5 4 16F 2 22 12 11 3 29
23. 23. 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
24. 24. 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)
25. 25. Chi-Square Test for Independence   22.337 2 p  value  0 df  4Conclude:There is an association betweengender and avenger preference!
26. 26. Potential Errors
27. 27. Thank you !!!Avengers Assembled BY: Mr. Yip 2012