Let "\\hat{p}" be the sample proportion. When "n" is large and "p" is not close to zero or one, we can use the normal distribution to approximate the binomial.
The sampling distribution of "\\hat{p}" is normal.
The mean of the sampling distribution is "p."
The standard deviation of the sampling distribution (called the standard error) is
Given that "n=576, p=0.12."
Confidence Level 95%: "z^*-value=1.96"
Confidence interval for "p" is
"0.12\\pm 1.96\\times 0.013540\\approx0.12\\pm0.0265"
"95\\%\\ CI=(0.0935, 0.1465)"
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