The article "College Graduates Break Even by Age 33" reportedthat 5.7% of high school graduates were unemployed in 2008 and 9.7%of high school graduates were unemployed in 2009.† Suppose that thereported percentages were based on independently selectedrepresentative samples of 300 high school graduates in each ofthese two years.

(a)Construct a 99% confidence interval for the difference in theproportion of high school graduates who were unemployed in thesetwo years. (Use p2008 ? p2009. Round your answers to three decimalplaces.)

B) The same article reported that 2.6% of college graduates wereunemployed in 2008 and 4.6% of college graduates were unemployed in2009. Suppose that the reported percentages were based onindependently selected representative samples of 500 collegegraduates in each of these two years. A 95% confidence interval forthe difference in the proportion of college graduates who wereunemployed in these two years was calculated to be (?0.043, 0.003).Is the confidence interval from part (a) wider or narrower thanthis confidence interval? (Round your answers to three decimalplaces.)The width of the confidence interval in part (a) is _______and the width of the given confidence interval is _________ . Thus,the confidence interval in part (a) is