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

X = 240 N = 300 99% confidence

Confidence interval for population proportion is

sample proportion + / - confidence coefficient*standard error of p

Sample proportion = p = x/n = 180/300 = 0.6

Confidence coefficient is the critical value of z for 95% confidence level = 1.96

Standard error of p = sqrt [p * (1-p) / n]

= sqrt [0.6*0.4/300]

= 0.0283

The CI is

0.6 + / - 1.96*0.0283

0.6 + / - 0.055

lower boundary is 0.6-0.055 = 0.545

upper boundary is 0.6+0.055 = 0.655

The CI is (0.545, 0.655)