Express the confidence interval 0074 0116 in the form of p w

Express the confidence interval (0.074, 0.116) in the form of p with caret - E < p < p with caret + E

_____< P < _____?

Solution

Note that

p^ = (upper + lower)/2 = (0.074+0.116)/2 = 0.095

and

E = (upper - lower)/2 = (0.116-0.074)/2 = 0.021

Thus,

0.095 - 0.021 < P < 0.095 + 0.021 [ANSWER]