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AP® Statistics

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Moderate

Superintendent Survey

APSTAT-DGVWXY

Suppose the superintendent of a large school district is interested in district-wide student satisfaction with the cafeteria food.

The superintendent decides to conduct a stratified sample by randomly selecting $30$ subjects from each grade level, $K$-$12$, for a total of $390$ students surveyed in the district.

What is the greatest benefit of conducting a stratified sample such as this one, compared to a simple random sample of $390$ students?

A

A stratified sample can contact more individuals to get more pieces of data and less variability.

B

A stratified sample can reduce bias.

C

A stratified sample can give more detailed information, showing food satisfaction for a variety of different ages.

D

Students are less likely to lie about their feelings regarding cafeteria food in this district if the sample is stratified.

E

In this situation, there are no benefits of a stratified sample compared to a simple random sample.