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A confidence interval is a range of values that a population parameter is likely to fall within. It's a probability that a population parameter will fall between a set of values for a certain proportion of times.
A confidence interval is calculated using a sample mean and standard deviation. The general form of a confidence interval is:
Point estimate: + Z SE (point estimate)
Z: is the value from the standard normal distribution for the selected confidence level
Margin of error: is 1.96 times the standard error
The confidence interval can be expressed in terms of probability or statistical significance. For example, "There is a 95% probability that the 95% confidence interval calculated from a given future sample will cover the true value of the population parameter".
Confidence intervals are often used in hypothesis testing and regression analysis. They can take any number of probability limits, with the most common being a 95% or 99% confidence level.