Statistics Solutions

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 \(\pm 3\) percentage points for this poll. What is the probability that the sample proportion \(\hat{p}\) for an SRS of size \(n=1016\) falls between 0.46 and 0.52?

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