A federal report indicated that 21% of children ages 2 to 5 years had a good diet- an increase over previous years. What is the smallest sample size required to estimate the true proportion of children with good diets within 2% with 99% confidence?
Added by Nuria B.
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In this case, we want to estimate the true proportion of children with good diets within 2% with 99% confidence. The formula for the margin of error is: ME = z*sqrt(p*(1-p)/n) where z is the z-score corresponding to the desired level of confidence (99% in this Show more…
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A federal report indicated that 27% of children ages 2 to 5 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 95% confidence?
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