if anyone could give me the answer for my stats hw thanksss

Question

If n = 100 and ˆpp^ (p-hat) = 0.9, construct a 99% confidence interval.

round to 3 decimals

Answer 1

99% CI

phat +/- z-critical value * standard error

0.9 +/- 2.58 * sqrt(0.9*0.1/100)

0.9 +/- 2.58 * 0.03

0.9 +/- 0.077

0.823,0.977