Sampling Methods

Question

The manager of an arena wants to learn more about the financial status of the people who will attend a rock concert. She would like to survey a representative sample of the more than 20,000 fans in attendance. Ticket prices for the concert vary greatly. Seats very close to the stage are $100, seats in the back are $20, and seats in the middle are $30 and $50.

Which random sampling method is most appropriate for this study?

cluster
census
simple random
stratified
systematic

Answer 1

The most appropriate random sampling method for this study would be stratified random sampling. This is because the ticket prices vary greatly, and the manager wants to survey a representative sample of fans in attendance. Stratified random sampling involves dividing the population into subgroups based on certain characteristics (in this case, ticket price0, and then randomly selecting a sample from each subgroup in proportion to size. This ensures that the sample is representative of the population in terms of the different ticket prices and the sample is representative of the population in terms of the different ticket prices and their corresponding financial statuses.