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How to find the probability for the sample proportion.

The perfect number of children. "Describe what do you think is the ideal number of children for a family to have?" A Gallup Poll requested this problem of 1016 randomly chosen adults. Nearly half (49%) thought two children was idea P Suppose that p = 0.49 is precisely true for the population of all adults. Gallup proclaimed a margin of error of ±3 percentage points for this poll. What is the likelihood that the sample proportion p for an SRS of size n = 1016 falls between 0.46 and 0.52?

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