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Sampling distribution of sample proportion

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Last year, a national opinion poll found that 43% of all Americans agree that parents should be given vouchers good for education at any public or private school of their choice. Assume that in fact the population proportion is 0.43. A random sample of 350 is to be selected and asked the same question.

a) What is the shape, mean(expected value), and standard deviation of the sampling distribution of the sample proportion for samples of size 350?
b) What is the probability that the sample proportion will fall within 0.03 of the population proportion?

3. Redo part (b) of problem 2, but assume that the sample size is 700. Does this answer make sense when compared to #2, part (b)? Why?

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Step by step method for computing probability Sampling distribution of sample proportion is given in the answer.

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