Teenagers make up a large percentage of the market for clothing. Below are data

Question

Teenagers make up a large percentage of the market for clothing. Below are data on running shoe ownership in four world regions (excluding China). At ? = .01, does this sample show that running shoe ownership depends on world region?

The hypothesis for the given issue is H0: Age Group and World Region are independent.

Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)

Find the critical value for chi-Square. Refer to the chi-square Appendix E table. (Round your answer to 2 decimal places.)

Teenagers make up a large percentage of the market for clothing. Below are data on running shoe ownership in four world regions (excluding China). At ? = .01, does this sample show that running shoe ownership depends on world region?

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Owned By
Columns: None

Chi-Square test:

Hence,

a) Yes

b) Test statistic = 19.31

Df = 3

P - value = 0.0002

c) Critical value = 11.34

d) Yes

U.S. Europe Asia Latin America Total Teens 80 89 69 65 303 Adults 20 11 31 35 97 Total 100 100 100 100 400

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