Where do women most often buy casual clothing? Data from the U.S. Shopper Databa

Question

Where do women most often buy casual clothing? Data from the U.S. Shopper Database provided the following percentages for women shopping at each of the various outlets (The Wall Street Journal, January 28, 2004).

A recent survey using a sample of 140 women shoppers in Atlanta, Georgia, found 42 Wal-Mart, 20 traditional department store, 8 J.C. Penney, 10 Kohl's, 21 internet, and 39 other outlet shoppers. See data in the table below:

Perform a goodness of fit analysis to test whether women shoppers in Atlanta differ from the shopping preferences expressed in the U.S. Shopper database.

Compute the value of the test statistic (to 2 decimals)

Answer:

The p-value is Answer (to four decimal places)

Answer:

Use ?= .05. Can you conclude that women shoppers in Atlanta differ from the outlet preferences expressed in the U.S.

Shopper Database?

Answer: (yes or no)

Outlet      Percentage Outlet Percentage   Wal-Mart   24 Kohl’s 8 Traditional department stores 11 Internet   12 JC Penney 8 Other 37

Explanation / Answer

applying chi square goodness if fit test:

value of the test statistic =8.730

p-value is =0.1203

as p value is greater than 0.05 level

hence no

observed Expected Chi square category Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei Wal-mart 0.240 42.000 33.60 2.10 tradiational department 0.110 20.000 15.40 1.37 JPC Penery 0.080 8.000 11.20 0.91 kohl's 0.080 10.000 11.20 0.13 Internet 0.120 21.000 16.80 1.05 Other 0.370 39.000 51.80 3.16 total 1 140 140 8.73

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