Christine Chilaka

Leslie Aranda

Nancy Acosta

AP Statistics

Period 4

6/6/2011

Hollister Vs. Kmartwhich shall prevail?

Does name brand clothing influence a consumer’s

choice of t-shirt?

Ho: There is no association between name brand and T-shirt preference

Ha: There is an association between name brand and T-shirt preference

X² test for independence

α = .1

Conditions are met√Random

√Independent

√Normal

20 students of each class were randomly selected

The population of students is at least 800

The expected count of each cell is greater then 5

Expected Count

K mart Hollister

Seniors 10.75 9.25

Juniors 10.75 9.25

Sophomores 10.75 9.25

Freshmen 10.75 9.25

Stratified random sample

n=8020 freshmen

20 sophomores20 juniors 20 seniors

K mart Hollister Total

Seniors 12 (.15) 8 (.10) 20

Juniors 9 (.113) 11 (.136)

20

Sophomores

13 (.163) 7 (.088) 20

Freshmen 9 (.113) 11 (.136)

20

Total 43 37 80

0

2

4

6

8

10

12

14

K martHollister

Seniors Juniors Soph Fresh

Which shirt do you prefer?

Chi squared Test for Independence

p = .4638

Conclusion

p-value > αFail to reject Ho

Potential errors?

Influence by peersNot caring

Recommendations?

Appendix