In a survey of 474 U. S. women, 365 said that the media has a negative effect on women's health because they set unattainable standards for appearances. Let

rho

denote the proportion of all women who think media has a negative impact on women's health because they set unattainable standards for appearance. Find the minimum sample size needed to estimate the population proportion

rho

with 99% confidence. the estimates must be accurate within 2% of

rho

.