1. Data from the U.S. Shopper Database provided the following percentages for wo
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Question
1. Data from the U.S. Shopper Database provided the following percentages for women shopping at each of the various outlets. The other category included outlets such as Target, Kmart, and Sears as well as numerous smaller specialty outlets. No individual outlet in this group accounted for more than 5% of the women shoppers. Outlet Percentage Other 35 Wal-Mart 25 Department Stores 10 Mail Order 15 Kohl's 10 J.C. Penney 5 A recent survey using a sample of 200 women shoppers in Tampa, FL found 60 Wal-Mart, 29 traditional department store, 11 JC Penney, 14 Kohl’s, 30 mail order, and 56 other outlet shoppers. Does this sample suggest that women shoppers in Tampa differ from the preferences expressed in the U.S. Shopper Data-base? What is your conclusion based on both the p-value and critical-value approaches? Use = .01.
Explanation / Answer
here null hypothesis: sample suggest that women shoppers in Tampa has same preferences expressed in the U.S. Shopper Data-base.
alternate hypothesis:sample suggest that women shoppers in Tampa differ from the preferences expressed in the U.S. Shopper Data-base
applying chi square goodness of fit test:
for above test stat X2 =10.75
degree of freedom =number of categories -1= 6-1=5
for 5 degree of freedom and 0.01 level of significance critical value of chi square distribution =15.086
as test stat is not in critical region we can not reject null hypothesis.
we do not have suffiicient evidence at 0.01 level to conclude that sample suggest that women shoppers in Tampa differ from the preferences expressed in the U.S. Shopper Data-base
observed Expected Chi square Type Probability O E=total*p =(O-E)^2/E other 0.350 56.000 70.00 2.80 walmart 0.250 60.000 50.00 2.00 Department store 0.100 29.000 20.00 4.05 mail order 0.150 30.000 30.00 0.00 Kohl 0.100 14.000 20.00 1.80 j.C. Penny 0.050 11.000 10.00 0.10 1 200 200 10.7500Related Questions
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