Here is the full information on the question:
For each question, the customers had the option of responding "yes" if they would pay more or "no" if they would not pay more.
Is the data collected by kroger in this example categorical or quantitative?
I believe the answer is Categorical.
Quantitative data refers to the type of data that could be measured by numbers (such as height, weight, age, numbers of partners, etc)
Dividing the data into different groups such as what Kroger did above is considered a categoriacl data.