SOLUTION: Express the confidence interval (0.026, 0.120) in the form of p̂ − E < p < p̂ + E. __ < p < __​(Type integers or​ decimals.)

Algebra ->  Probability-and-statistics -> SOLUTION: Express the confidence interval (0.026, 0.120) in the form of p̂ − E < p < p̂ + E. __ < p < __​(Type integers or​ decimals.)      Log On


   



Question 1182734: Express the confidence interval (0.026, 0.120) in the form of p̂ − E < p < p̂ + E.
__ < p < __​(Type integers or​ decimals.)

Answer by Edwin McCravy(20059) 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, 0.026 and 0.120:

%280.026%2B0.120%29%2F2+=+0.073

So p̂ = 0.073

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

E = |0.120-0.073| = |0.026-0.120| = 0.047

so in the form

p̂ − E < p < p̂ + E

0.073 - 0.047 < p < 0.073 + 0.047

        .026 < p < 0.120

Edwin