Question

Use the given confidence interval limits to find the point estimate ModifyingAbove p with caret and the margin of error E. 0.519 less than p less than 0.635 ModifyingAbove p with caretequals nothing Eequals nothing ​(Type an integer or a​ decimal.)

Answer 1

The point estimate = 0.577

Explanation:

We are given the confident interval as [0.519 < p < 0.635]. In order to obtain the point estimate, we do the following:

1. Take the difference of the upper limit and the lower limit. That is,

0.635 - 0.519 = 0. 116

2. Following the margin of error, we have that

margin of error = ±Z(σ/
`√(n)`). This implies that, the margin of error is the average of the difference of (1).

That is;

margin of error (E) = (1/2)*(0.116) = 0.058

Therefore,

The confident interval (CI) = Point estimate ±Z(σ/
`√(n)`)

Where point estimate => μ

===>The confident interval (CI) = μ ±Z(σ/
`√(n)`) = 0.577 ± 0.058

The confident interval (CI) = [0.519 < p < 0.635]