Solution: "What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1016 randomly chosen adults. Almost


Question: "What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1016 randomly chosen adults. Almost half (49%) thought two children was ideal. Suppose that p = 0.49 is exactly true for the population of all adults. Gallup announced a margin of error of ±3\pm 3 percentage points for this poll. What is the probability that the sample proportion p^\hat{p} for an SRS of size n=1016n=1016 falls between 0.46 and 0.52?

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