A political polling agency wants to take a random sample of registered voters an

Question

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is select 1,600 voters

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

The sample proportion from the sample of 400 is more likely to be close to the true population proportion, p.

The sample proportion from sample of 1,600 is more likely to be close to the true population proportion, p.

The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.

Explanation / Answer

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

The sample proportion from sample of 1,600 is more likely to be close to the true population proportion, p.

Why? because when we have a sample size more bigger we reduce the error of the sampling distribution

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