A poll of 803 adults in the United States found that a majority 59% said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5 %.

(a) Use the formula for the margin of error to estimate the margin of error for this poll, assuming a 95% confidence level. (round your answer as a percentage to one decimal place.) How does your answer compare to the margin of error reported by the poll?

(b)From this poll, can you assert with confidence that a majority of American support making changes in government surveillance programs?

(c)Suppose that the poll had found that 51% said that changes should be made in govern- ment surveillance programs. If the margin of error remained at 3.5%, could you assert with confidence that a majority of Americans support making changes in government surveillance programs?