2012 ap stats project (1)
DESCRIPTION
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
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