A researcher at a marketing firm examines whether the age of a consumer matters when buying athletic clothing. Her initial feeling is that Brand A attracts a younger customer, whereas the more established companies (Brands B and C) draw an older clientele. For 600 recent purchases of athletic clothing, she collects data on a customer’s age (Age equals 1 if the customer is under 35, 0 otherwise) and the brand name of the athletic clothing (A, B, or C). A portion of the data is shown in the accompanying table. 

a. Construct a contingency table that cross-classifies the data by Age and Brand. How many of the purchases were for Brand A? How many of the purchases were from customers under 35 years old? 

b. Given that the purchase was made by a customer under 35 years old, what is the likelihood that the customer purchased Brand A? Brand B? Brand C? Do the data seem to support the researcher’s belief? Explain.

c. Construct a stacked column chart. Does there appear to be a relationship between the age of the customer and the brand purchased?

Transcribed Image Text:

Purchase 1 2 I 600 Age 1 1 T 0 Brand A A ⠀ C