SOLUTION: A study shoes that 27% of Americans say that chocolate is their favorite flavor of ice cream. You want to estimate with 95% confidence, the true proportion of U.S. adults who say

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Question 1141164: A study shoes that 27% of Americans say that chocolate is their favorite flavor of ice cream. You want to estimate with 95% confidence, the true proportion of U.S. adults who say that chocolate is their favorite flavor. Find the minimum sample size you -will -need for this -study if you want your estimate to be within 2% of the population proportion.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the half-interval is z*SE, where z=1.96 for 95% and SE is sqrt(p*(1-p)/n)
This is 1.96*sqrt(0.27*.73)/n=0.02, the error.
square both sides and 3.8416*0.27*0.73=0.0004n, multiplying through by n
0.7572=0.0004n
n=1893