In July 2018, the Gallup Poll asked a random sample of 1033 American adults, "Has drug abuse ever been a cause of trouble in your family?" The poll found that 30% of respondents said "yes," a record high percentage since the question started being asked in 1995.   Suppose that the sample size had been 3500 rather than 1033. Find the margin of error for 95% confidence for the larger sample. Give your answer to three decimal places. margin of error:

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In July 2018, the Gallup Poll asked a random sample of 1033 American adults, "Has drug abuse ever been a cause of trouble in your family?" The poll found that 30% of respondents said "yes," a record high percentage since the question started being asked in 1995.
 
Suppose that the sample size had been 3500 rather than 1033. Find the margin of error for 95% confidence for the larger sample. Give your answer to three decimal places.
margin of error:
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