**See below for Confidence Interval to z-score conversion

#### Solution

## Margin of Error Formula

Margin of Error = z * σ/√n

z : z-score

σ : Population Standard Deviation

n : Sample Size

**Note: σ / √n = Standard Error of the Mean

## Confidence Interval to z-Score

99% = 2.58

98% = 2.33

96% = 2.05

95% = 1.96

92% = 1.75

90% = 1.645

85% = 1.44

80% = 1.28

## What is Margin of Error?

The margin of error is used in statistics and it provides a way to measure how accurate, or effective, an analysis is based on the results of a population, a level of desired confidence, and the standard deviation for the results of a given group. It is important to note that the smaller the margin of error is, the more confidence you can have in the analysis; the results are likely to be close to the "average."