Question

What does a confidence interval tell you and how does the margin of error come into play??

Answer 1

https://www.health.ny.gov/diseases/chronic/confint.htm

That provides a good example of the confidence interval's uses and its relation to the margin of error.

Answer 2

The confidence interval is just the mean plus or minus the Margin Of Error

Answer 3

The confidence interval captures the true proportion of the parameter, with a given confidence level.