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A Pew Research Center poll surveyed a random sample 850 voters and asked them if they...

A Pew Research Center poll surveyed a random sample 850 voters and asked them if they support legalizing the use of marijuana. A Gallup poll surveyed a random sample of 1200 voters, from the same population that the Pew Research Center surveyed from, and asked the same question about legalizing the use of marijuana. Assume that the sample proportion who support legalizing the use of marijuana is exactly the same for each poll. If each poll goes on to construct a 95% confidence interval, how will the margins of error compare for the two polls? A. The Pew Research Center margin of error will be the same as the Gallup margin of error. B. The Pew Research Center margin of error will be smaller than the Gallup margin of error. C. The Pew Research Center margin of error will be larger than the Gallup margin of error. D. There is not enough information available here to judge how the margins of error will compare.

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Answer #1

The sample size is smaller for Pew research center so its margin of error will be larger.

Option C is correct.

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