2012 AP Stats Project (1)

Avengers AssembledBY: Mr. Yip

2012

93%(2012)

Captain America(Steve Rogers)

79%(2011)

Thor(God of Thunder)

77%(2011)

Hawkeye(Clint Barton)

Ironman (Tony Stark)

94%(2008)

74%(2010)

Black Widow(Natasha Romanoff)

Hulk(Bruce Banner)

66%(2008)

The Hypotheses # 1

H0: Students have no preference for an avenger.

Ha: Students have a preference for an avenger.

The Survey

Conditions for Chi-Square

Random

Large Sample Size

Independent

15 6 13 5 4 16

Male students n = 59

Observed

9.83 9.83 9.83 9.83 9.83 9.83

Expected

Results for Male Students

Conclude: Male students have a preference.

2 14.93

0.011

5

p value

df

2 22 12 11 3 29

Female students n = 79

Observed

13.2 13.2 13.2 13.2 13.2 13.2

Expected

Results for Female Students

Conclude: Female students have a preference.

2 42.76

0.000

5

p value

df

The Hypotheses # 2

H0: Avenger selection and gender are independent.

Ha: Avenger selection and gender are not independent.

15 6 13 5 4 162 22 12 11 3 29

All students n = 138

Observed

MF

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

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

Chi-Square Test for Independence

Conclude:

There is an association between gender and avenger preference!

2 22.337

0

4

p value

df

Potential Errors

Thank you !!!Avengers Assembled

BY: Mr. Yip2012