Calculate and visualize confidence intervals with coverage probability
Scenario Type
Parameters
Single Confidence Interval
Coverage Simulation (100 Intervals)
Statistics
Understanding Confidence Intervals
What is a Confidence Interval? A confidence interval provides a range of plausible values for an unknown population parameter.
Correct Interpretation: "If we repeated this sampling process many times, approximately 95% of the constructed intervals would contain the true parameter."
Common Misconceptions:
❌ "There's a 95% probability the true value is in this interval" - The true value is fixed; it either is or isn't in the interval
❌ "95% of the data falls in this interval" - The CI is about the parameter, not the data
❌ "A wider interval is always better" - Wider = more confident but less precise (trade-off!)
✓ Watch the simulation to see that ~95% of intervals capture the true value (red line)