The president of a breakfast cereal manufacturer believe that her product is very popular in families where bothspouses work. To prove her point, she commissioned a survey of families where both spouses work. Each

family was asked whether the company's cereal is eaten for breakfast. Of those families surveyed, 68.9% indicated they eat the cereal. The plan was to develop a 98.5% confidence interval for the proportion of families with two working spouses who eat the cereal. What is the maximum sample size of families that should have been surveyed if the estimate was to be within 1.95% of the true proportion?