2012 ap stats project (1)

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Avengers Assembled BY: Mr. Yip 2012

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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.

TRANSCRIPT

Page 1: 2012 AP Stats Project (1)

Avengers AssembledBY: Mr. Yip

2012

Page 2: 2012 AP Stats Project (1)

93%(2012)

Page 3: 2012 AP Stats Project (1)

Captain America(Steve Rogers)

Page 4: 2012 AP Stats Project (1)

79%(2011)

Page 5: 2012 AP Stats Project (1)

Thor(God of Thunder)

Page 6: 2012 AP Stats Project (1)

77%(2011)

Page 7: 2012 AP Stats Project (1)

Hawkeye(Clint Barton)

Page 8: 2012 AP Stats Project (1)

Ironman (Tony Stark)

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94%(2008)

Page 10: 2012 AP Stats Project (1)

74%(2010)

Page 11: 2012 AP Stats Project (1)

Black Widow(Natasha Romanoff)

Page 12: 2012 AP Stats Project (1)

Hulk(Bruce Banner)

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66%(2008)

Page 14: 2012 AP Stats Project (1)

The Hypotheses # 1

H0: Students have no preference for an avenger.

Ha: Students have a preference for an avenger.

Page 15: 2012 AP Stats Project (1)

The Survey

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Conditions for Chi-Square

Random

Large Sample Size

Independent

Page 17: 2012 AP Stats Project (1)

15 6 13 5 4 16

Male students n = 59

Observed

9.83 9.83 9.83 9.83 9.83 9.83

Expected

Page 18: 2012 AP Stats Project (1)

Results for Male Students

Conclude: Male students have a preference.

2 14.93

0.011

5

p value

df

Page 19: 2012 AP Stats Project (1)

2 22 12 11 3 29

Female students n = 79

Observed

13.2 13.2 13.2 13.2 13.2 13.2

Expected

Page 20: 2012 AP Stats Project (1)

Results for Female Students

Conclude: Female students have a preference.

2 42.76

0.000

5

p value

df

Page 21: 2012 AP Stats Project (1)

The Hypotheses # 2

H0: Avenger selection and gender are independent.

Ha: Avenger selection and gender are not independent.

Page 22: 2012 AP Stats Project (1)

15 6 13 5 4 162 22 12 11 3 29

All students n = 138

Observed

MF

Page 23: 2012 AP Stats Project (1)

7.27 11.97 10.69 6.84 2.99 19.24

9.73 16.03 14.31 9.16 4.08 25.76

All students n = 138

Expected

MF

Page 24: 2012 AP Stats Project (1)

15(7.14)

6(11.76)

13(10.50)

5(6.72)

16(18.89)

2(9.86)

22(16.24)

12(14.50)

11(9.28)

29(26.11)

All students n = 138

Observed(Expected)

M

F

Page 25: 2012 AP Stats Project (1)

Chi-Square Test for Independence

Conclude:

There is an association between gender and avenger preference!

2 22.337

0

4

p value

df

Page 26: 2012 AP Stats Project (1)

Potential Errors

Page 27: 2012 AP Stats Project (1)

Thank you !!!Avengers Assembled

BY: Mr. Yip2012