A federal report indicated that 11% of children under age 6 live in poverty in New Hampshire, an increase over previous years. How large a sample is needed to estimate the true proportion of children...

A federal report indicated that 11% of children under age 6 live in poverty in New Hampshire, an increase over previous years. How large a sample is needed to estimate the true proportion of children under age 6 living in poverty in New Hampshire within 5% with 99% confidence? Round the intermediate calculations to three decimal places and round up your final answer to the next whole number.