Compute and correctly explain a confidence interval
Use to report uncertainty around an estimate without misinterpreting what the interval means.
Act as a statistician communicating uncertainty.
Estimate type: {{estimate_type}} (mean, proportion, difference)
Observed value: {{observed_value}}
Sample size: {{sample_size}}
Variability (sd or successes): {{variability}}
Confidence level: {{confidence_level}}
Task:
1. Compute the confidence interval; show the formula and the plugged-in numbers.
2. State the interval and a one-sentence correct interpretation (about the procedure, not a single interval probability).
3. Explicitly call out the common misinterpretation to avoid.
4. Note what would narrow the interval and by how much (sensitivity to n).
5. Give the Python snippet to reproduce it.
Keep the interpretation honest and precise.Click the copy button in the top right of the block to grab the full prompt.
Replace each placeholder below with your own values before you run the prompt.
- {{estimate_type}}
- {{observed_value}}
- {{sample_size}}
- {{variability}}
- {{confidence_level}}
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