A federal report indicated that 27% of children ages 2 to 5 years old had a good diet – an increase over previous years. How large a sample is needed to estimate the true proportion of children with...

A federal report indicated that 27% of children ages 2 to 5 years old had a good diet – an increase over previous years. How large a sample is needed to estimate the true proportion of children with good diets within 2% with 90% confidence? Show all the work. Assume that all necessary assumptions are met.