According to a nationwide study by the U.S. Department of Education that was mentioned in “Beating bullies without a fight,” an article in the September 22 2009, Democrat and Chronicle, 79% of children between the ages of 12 and 18 were bullied at least once in the past six months. You wish to conduct a study to estimate the percentage of children between the ages of 12 and 18 in your community who were bullied in the last six months. Assume the population proportion is 79%, as reported by the U.S. Department of Education.What sample size must you use if you want your estimate to be within:
a. 0.03 with 90% confidence?
b. 0.06 with 95% confidence?
c. 0.09 with 99% confidence?