How To Calculate Confidence Level?

Determine the confidence level you want, such as 90%, 95%, or 99%

Calculate alpha: alpha = 1 – confidence level

For a two-tailed interval, divide alpha by 2

Find the critical value from the appropriate distribution

Use z for large samples or known population standard deviation

Use t for small samples or unknown population standard deviation

Compute the margin of error: critical value × standard error

Calculate the confidence interval: estimate ± margin of error

Express the confidence level as the percentage associated with the interval

Interpret the result as the proportion of intervals that would contain the true parameter in repeated sampling

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