Question

Express the confidence interval (0.403 comma 0.487 )(0.403,0.487) in the form of ModifyingAbove p with caretpplus or minus±E. ModifyingAbove p with caretpplus or minus±Eequals=nothingplus or minus±nothing ​(Type an integer or a​ decimal.)

Answer 1

L = 0.403 is the lower end of the confidence interval

U = 0.487 is the upper end of the confidence interval

The margin of error E is

E = (U-L)/2

E = (0.487-0.403)/2

E = 0.042

Which is half the distance from the lower to upper end

---------------------------

The midpoint of the confidence interval is the value of $\hat{p}$ (read out as "p hat")

phat = (U+L)/2

phat = (0.487+0.403)/2

phat = 0.445

---------------------------

Answer: The confidence interval (0.403, 0.487) can be rewritten into the form $0.445 \pm 0.042$