“How would you describe your own physical health at this time? Would you say physical health is—excellent, good, only fair, or poor?” The Gallup Poll asked this question of 1005 randomly selected adults, of whom 29% said “excellent.” Suppose that in fact the proportion of the adult population who say their health is excellent is 0.29. What is the probability that the sample proportion of an SRS of size 1000 who say their health is excellent lies between 26% and 32%?
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