This document summarizes a study that used a chi-squared test to determine if there is an association between name brand and student preference for t-shirts. An experiment was conducted with 80 randomly selected high school students across four grade levels who were asked whether they preferred a Hollister or Kmart t-shirt. The results of the chi-squared test found no significant association between name brand and shirt preference.

1. Christine ChilakaLeslie ArandaNancy AcostaAP StatisticsPeriod 46/6/2011Hollister Vs. Kmartwhich shall prevail?

2. Does name brand clothing influence a consumer’schoice of t-shirt? X² test for independenceHa: There is an association between name brand and T-shirt preferenceHo: There is no association between name brand and T-shirt preferenceα = .1

3. Conditions are met20 students of each class were randomly selected√Random√IndependentThe population of students is at least 800√NormalThe expected count of each cell is greater then 5

4. Stratified random samplen=8020 freshmen20 sophomores20 juniors 20 seniors

5. Which shirt do you prefer?Seniors Juniors Soph Fresh

6. Chi squared Test for Independencep = .4638

7. Conclusionp-value > αFail to reject Ho

8. Potential errors?Influence by peersNot caring

9. Recommendations?

10. Appendix