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Find the probability for the sample proportion.

The ideal number of children. "What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1016 arbitrarily chosen adults. Almost half (49%) thought two children was idea suppose that p = 0.49 is exactly true for the population of all adults. Gallup announced a margin of error of ±3 percentage points for this poll. What is the probability that the sample proportion p for an SRS of size n = 1016 falls between 0.460 and 0.520?

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