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7. (10 pts) A polling agency wishes to take a sample of voters in a given state large enough that the probability is only

7. (10 pts) A polling agency wishes to take a sample of voters in a given state large enough that the probability is only 0.1 that they will find the proportion favoring a certain candidate to be less than 50 percent when in fact is 52 percent. How large a sample should be taken?

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