A female fashion study surveyed customers to determine characteristics of the “frequent” shoppers at different department stores. Suppose you’re a marketing manager at one of the department stores. You’d like to know if a customer’s shopping frequency and her age are related. Here are the data:

a) Is this a test of homogeneity (independence) or goodness- of-fit?

b) Write an appropriate hypothesis.

c) Are the conditions for inference satisfied?

d) The calculation yields x² = 26.084, P-value = 0.002. State your conclusion.

e) Given the standardized residuals in the table, state a complete conclusion.

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Age 25–44 18–24 45-54 55 or Over Never/Hardly Ever 171 32 45 24 134 1-2 Times/Yr 18 40 37 3-4 Times/Yr 21 109 48 27 25 Times/Yr 39 134 71 50 Shopping Frequency Standardized Residuals Age 18–24 25-44 45-54 55 or Over Never/Hardly Ever 0.3803 1.7974 -1.4080 -2.2094 1-2 Times/Yr -1.4326 0.7595 -0.9826 0.9602 3-4 Times/Yr -0.3264 -0.3151 0.9556 -0.2425 25 Times/Yr 1.1711 -2.1360 1.4235 1.4802 Shopping Frequency