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An SRS of 1000 American adults is asked, What do you think is the most important problem facing our country? Suppose that in fact 40%

An SRS of 1000 American adults is asked, "What do you think is the most important problem facing our country?" Suppose that in fact 40% of all adults would answer "dysfunctional government" if asked this question. The proportion of the sample who answers "dysfunctional government" will vary in repeated sampling. The sampling distribution of is approximately Normal with mean 0.40 and standard deviation 0.015.

a. What is the probability that is at least 0.43?

b. What is the probability that is less than 0.42?

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