Suppose a corporation is interested in the proportion of employees who favor a new child care program. The corporation has 750 employees from which it wants to take a simple random sample. The planners would like to make the sample large enough so that they can produce a 90 % confidence interval that extends no more than 7 % on each side of the sample proportion in favor of the new program. How large a sample should they take? Assume that the sample standard deviation is .24.