SOLUTION: Express the confidence interval 42.9% < p < 60.3% in the form of ˆ p̂±E.

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Question 1183103: Express the confidence interval
42.9% < p < 60.3% in the form of
ˆ
p̂±E.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Express the confidence interval
42.9% < p < 60.3% in the form of
ˆ
p̂±E.
A confidence interval always has p̂ in the exact middle of the interval.

To find the middle, average the lower and upper bounds, 42.9% and 60.3%:

%28%2242.9%25%22%2B%2260.3%25%22%29%2F2=%22103.2%25%22%2F2=%2251.6%25%22

So p̂ = 51.6%

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

E = |42.9%-51.6%| = |60.3%-51.6%| = 8.7%

so 

p̂±E = 51.6% ± 8.7%

Edwin