A producer of breakfast cereals has developed a new style of corn flakes called Krinkly Corn. They would like to know what percent of U.S. moms would prefer Krinkly Corn rather than any of the other three standard brands. They plan to conduct a market survey. They will recruit a sample of moms of size n. They will supply the moms with boxes of corn flakes of all four brands - Krinkly Corn and the three standard brands and ask them to try all four for their family's breakfast during the next two weeks. After the two weeks they will ask, "Which brand do you prefer (choose one)". They would like to have a confidence interval for the percentage of American moms who prefer Krinkly Corn. They want a 95% confidence interval with a margin of error of about ± 3%. Based on prior experience they guess that about 10% of American moms will prefer Krinkly Corn. How large a sample size, n, should they recruit in order to obtain a confidence interval with margin of error ± 3% based on this prior guess?