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Mathematics, 16.03.2020 20:01 Nathaliasmiles

Suppose the American National Elections Studies agency (ANES) wishes to conduct a survey. It plans to ask a yes/no question to determine if those surveyed plan to vote for a certain candidate. One proposal is to randomly select 400 people and another proposal is to randomly select 1600 people.

Which of the following is true regarding the sample proportion ^p of "yes" responses?

a. The sample proportion from the sample of 400 is more likely to be close to the true population proportion, p.
b. The sample proportion from sample of 1,600 is more likely to be close to the true population proportion, p.
c. The sample proportion, ^p, in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.

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