SOLUTION: Express the confidence interval 0.444 < p < 0.888 in the form p̂±E. p̂±E = __ ± __

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Question 1182733: Express the confidence interval 0.444 < p < 0.888 in the form p̂±E.
p̂±E = __ ± __
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A confidence interval always has p̂ in the exact middle of the interval.

To find the middle, average the lower and upper bounds, 0.444 and 0.888:

%280.444%2B0.888%29%2F2+=+0.666

So p̂ = 0.666

The value of E is the difference in absolute value between p̂ and either
bound. 

E = |0.888-0.666| = |0.444-0.666| = 0.222

so 

p̂±E = 0.666 ± 0.222

Edwin