With the point estimate = .48, confidence level .95, and sample size 1005 how do I...

With the point estimate = .48, confidence level .95, and sample size 1005 how do I calculate the confidence interval?

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Expert Solution

Point estimate = sample proportion = = 0.48

sample size n = 1005

Z/2 = 1.96

Margin of error = E = Z / 2 * $\sqrt$ (( * (1 - )) / n)

= 1.96 * ( $\sqrt$ ((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)

***please ask if you have any doubts.Happy to help you.Thank you.Please Like.

orchestra answered 2 years ago

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