{"name":"confidence_interval","title":"Confidence Interval Calculator","category":"statistics","description":"Confidence interval for a population mean or proportion given sample statistics.","price_usd":0.002,"input_schema":{"type":"object","properties":{"mode":{"type":"string","description":"mean or proportion","enum":["mean","proportion"]},"mean":{"type":"number","description":"Sample mean (mean mode)"},"std_dev":{"type":"number","description":"Sample standard deviation (mean mode)"},"n":{"type":"integer","description":"Sample size"},"confidence":{"type":"number","description":"Confidence level 0..1 (default 0.95)"},"successes":{"type":"integer","description":"Successes (proportion mode)"}},"additionalProperties":false}}