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

a) What is the shape, mean(expected value), and standard deviationof the samplingdistribution of the sample proportion for samples of size 350?

b) What is the probabilitythat 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?

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