Question

Determine the point estimate (LaTeX: \hat{p}p ^) of the population proportion and the margin of error (E) for the given confidence interval. Lower bound: 0.223, upper bound: 0.285 (Round to the nearest thousandth)

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The sample proportion $\hat{p}$ is used in statistic to determine the point estimate for estimation of the sample proportion.

The point estimate ($\hat{p}$) of the population proportion is given by:

$\hat{p} = \frac{upper \ bound+lower\ bound}{2}\\ \hat{p} =\frac{0.285+0.223}{2}=0.254$

The margin of error (E)  is the error or deviation expected from a population parameter.

The margin of error (E) of the population proportion is given by:

$E = \frac{upper \ bound-lower\ bound}{2}\\ E =\frac{0.285-0.223}{2}=0.031$