Sunny attends a university where the total enrollment is 20,000 students. Avery attends a different university where the total enrollment is 10,000 students. Sunny and Avery each survey a random sample of students from their respective universities in order to estimate the percentage of students who plan to study abroad, with Sunny’s survey consisting of a random sample of 350 students and Avery’s survey consisting of a random sample of 715 students. Who will have a smaller estimated margin of error?
Group of answer choices
Sunny’s estimated margin of error will be smaller because Sunny sampled from a larger population.
Avery’s estimated margin of error will be smaller because Avery surveyed a larger sample.
Sunny’s estimated margin of error will be smaller because Sunny surveyed a smaller sample.
Avery’s estimated margin of error will be smaller because Avery sampled from a smaller population.
It’s impossible to answer this question without knowing the exact survey results obtained by Sunny and Avery.