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.

PurchaseAgeBrand11A21C6000B

Click 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.

Which of the following statements isleastaccurate?

multiple choice

• Brand A had the most purchases.
• Of those who purchased Brand A, those younger than 35 years old made a majority of the purchases.
• Of those who purchased Brand B, those at least 35 years old made a majority of the purchases.
• Brand C had the least purchases.