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Question: Historically about 51% of the babies born in the United States are boys. That is, we know that p=…

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Historically about 51% of the babies
born in the United States are boys. That is, we know that p=0.51. A
survey plans to study 650 randomly selected newborns.

What are the mean and standard deviation of the statistic p hat
, the sample proportion who are boys?

Use the Normal approximation to find the probability that p hat
would be less than 0.5.

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