Question

Construct a confidence interval of the population proportion at the given level of confidence.

x =540, n=1100, 95​% confidence

The lower bound of the confidence interval is ____. (Round to 3 decimal places as needed.)

Answer 1

Sample size = n = 1100

x = 540

Sample proportion is

We have to construct a 95% confidence interval for the population proportion.

Formula is

Here E is a margin of error.

Zc = 1.96

( From z table)

So confidence interval is ( 0.4909 - 0.0295 , 0.4909 + 0.0295) => ( 0.461 , 0.520)

The lower bound of the confidence interval is 0.461