In: Statistics and Probability
With the point estimate = .48, confidence level .95, and sample size 1005 how do I calculate the confidence interval?
Point estimate = sample proportion = = 0.48
sample size n = 1005
Z/2 = 1.96
Margin of error = E = Z / 2 * (( * (1 - )) / n)
= 1.96 * (((0.48 * 0.52) / 1005)
= 0.0308
A 95% confidence interval for population proportion p is ,
- E < p < + E
0.48 - 0.0308 < p < 0.48 + 0.0308
0.4492 < p < 0.5108
confidence interval = (0.4492 , 0.5108)
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