5.60 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 1020 randomly chosen adults. Over half (53%) thought that a total of two children was ideal. Suppose that p = 0.53 is exactly true for the population of all adults. Gallup announced a margin of error of ±4 percentage points for this poll. 1. What is the probability that the sample proportion p ̂ for an SRS of size n = 1020 falls between 0.49 and 0.57?

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5.60 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 1020 randomly chosen adults. Over half (53%) thought that a total of two children was ideal. Suppose that p = 0.53 is exactly true for the population of all adults. Gallup announced a margin of error of ±4 percentage points for this poll.

1. What is the probability that the sample proportion p ̂ for an SRS of size n = 1020 falls between 0.49 and 0.57?

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