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 customers 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.

Purchase Age Brand

1 1 A

2 1 C

600 0 B

pictureClick here for the Excel Data File

a-1. Construct a contingency table that cross-classifies the data by Age and Brand. Provide the frequencies in the accompanying table.

a-2. How many of the purchases were for Brand A?

a-3. How many of the purchases were from customers under 35 years old?

b-1. Given that the customer was younger than 35 years old, what is the likelihood that the customer purchased Brand A? (Report the proportion rounded to 2 decimal places.)

b-2. Given that the customer was younger than 35 years old, what is the likelihood that the customer purchased Brand B? (Report the proportion rounded to 2 decimal places.)

b-3. Given that the customer was younger than 35 years old, what is the likelihood that the customer purchased Brand C? (Report the proportion rounded to 2 decimal places.)

c. The figure below shows the stacked column chart for the data.

Ch2_Q17_V5_a.jpg

Which of the following statements is least accurate?

multiple choice