Question

Use the given confidence interval limits to find the point estimate

ModifyingAbove p with caretp

and the margin of error E.

​(0.7920.792​,0.9220.922​)

Answer 1

Given confidence interval is (0.792 , 0.922 )

We can write confidence interval in terms of and E and ( - E , + E)

Comparing these two intervals,

- E = 0.792 , and + E = 0.922

Solve by adding together

2 = 0.792 + 0.922

= 0.857

Put this value of in equation + E = 0.922 and solve for E

0.857 + E = 0.922

E = 0.065

So,

= 0.857 and E = 0.065