Question

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample?

Answer 1

the margin of error tells you how many percentage points your results will differ from the real population value 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 95%of the time the Margin of error can be calculated in two ways
1.Margin of error =Critical value ×Standard deviation
2. Margin of error = Critical value x standard error of the ststistic

Answer 2

Z is 1.96 for a confidence interval of 95%

Explanation:

We can find the confidence level with the formula

z = X-μ/σ

X = Raw score,

μ = mean,

σ = standard deviation.

Z is 1.96 for a confidence interval of 95%