In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns.

a. What single value is the best estimate of the population proportion of all adults who say that it is morally wrong to not report all income on tax returns?

b. Use the sample results to construct a 95% confidence interval estimate of the population proportion of adults who say that it is morally wrong to not report all income on tax returns.

c. What is the margin of error?

d. Write a statement that correctly interprets the confidence interval found in part b

e. The sample proportion of 0.791 was obtained from one specific sample of 745 adults. Suppose many different samples of 745 adults are obtained and the sample pro-portion is found for each sample. What do we know about the shape of the distribution of the sample proportions?

f. Assume that we plan to conduct another poll to determine whether the given sample results are accurate. How many adults would we need to poll in order to have 95% confidence that the margin of error is 0.02?