A study was conducted to assess the magnitude of business that Canadian border r

Question

A study was conducted to assess the magnitude of business that Canadian border retailers were doing with U.S. residents. Forty-one shoppers in border city department stores were interviewed; 24 were U.S. residents, and the rest were Canadian residents. Thirty-five discount store shoppers were interviewed, as were 30 hardware store and 60 shoe store customers. In these three groups, 20, 11, and 32 were U.S. residents, and the remaining shoppers were Canadian residents. Use a chisquare contingency analysis to determine whether the shoppers' residence (Canada versus U.S.) is independent of type of border city retailer (department, discount, hardware, shoe) for these data. Let alpha = 0.1. *Round your answer to 2 decimal places. Round your answer to 4 decimal places when calculating using Table A.8. Since the observed X^2 = X^2_0.1, 3 = the decision is to Citizenship is of type of store.

Explanation / Answer

Observed Table

Excepted Value Table

X2 = (24 - 21.49)2 /21.49 + (17 - 19.51)2 /19.51 + (20 - 18.34)2 /18.34 + (15 - 16.66)2 /16.66 + (11 - 15.72)2 /15.72 + (19 - 14.28)2 /14.28 + (32 - 31.45)2 /31.45 + (28 - 28.55)2 /28.55

= 3.933

X2 = 3.93 < = X2 0.1, 3= 6.2510

The decision is to not reject null hypothesis and it can be said that citizenship is independent of type of store.

Resident Us Canada Total Shoppers 24 17 41 Store Shoppers 20 15 35 Hardware Store 11 19 30 Shoe store 32 28 60 Total 87 79 166

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