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math.stats-confidence-interval Calculator
Calculates confidence interval and margin of error for a proportion or mean from sample size, standard deviation, and confidence level. A 95% confidence interval means 95% of intervals constructed this way contain the true population parameter.
Inputs
P
Reference formula or conversion factor shown for context.
N
Number of data points collected. Larger samples give narrower confidence intervals. Rule of thumb: 30+ for most statistical tests.
Z
Reference formula or conversion factor shown for context.
Results
margin of error
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
CI
Reference formula or conversion factor shown for context.
std error
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
status
Current state of the system, process, or metric — typically pass/fail, healthy/warning/critical, or a descriptive classification.