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It is known that the true proportion of units in a very large population that have a particular characteristic is 0.45. A simple random sample of size n = 500 is to be selected from the population. What is the probability that the sample proportion,p^ , will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤p^ ≤ 0.48}?

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