An article in the October 11, 2006, issue of theWashington Postclaimed that 15% of high school students used cursive writing on the essay portion of the SAT exam in the academic year 2005-2006. Suppose that you want to design a study to estimate this proportion for the following year.

a.How many essays would you need to sample to estimate this proportion to within0.05 with 99% confidence? (Use the 2005-2006 proportion as a reasonable starting guess for how the following year's proportion will turn out.)

Round your answer to the nearest integer.

Your sample size should be at least