Q 8.4. - Elementary Statistics

Question

Express the form of most of the confidence intervals that you will encounter in your study of statistics in terms of "point estimate" and "margin of error." 

Step-by-Step Solution

Answer

The requires expression is: $\boxed{Confidence interval=Point of estimate \pm Margin of error.}$

Step 1: Given information

The relation between confidence interval, point of estimate, and margin of error.

Step 2: Explanation

The margin of error means the half-length of the confidence interval is term as the margin of error.

We know that $100(1-\alpha )\%$ of confidence interval contains the population mean$\left(\mu \right)$.

Since the point of the estimate is near to the population mean,

Therefore the value of the population parameter can be obtained with the point of estimate and the margin of error.

Therefore we can express the relation as:

$Confidence interval=\boxed{Point of estimmate\pm Margin of error.}$