Question 1203043
n = sample size = 380
p = percent of people who said they liked dogs = 68% = .68.
q = percent of people who did not say they liked dogs = 32% = .32.
s = standard error = sqrt(p * q / n) = .0012275688.
critical z-score at 99% two tail confidence interval = plus or minus 2.5758.
margin of error = (x-m).
when z = 2.5758, z-score formula becomes 2.5758 = (x-m) / .0012275688.
solve for (x-m) to get (x-m) = .0031619718.
with the mean of .68, that would lead to a 99% confidence interval of from .67684 to .68316.
here's what it looks like on a normal distribution calculator.


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