What does a 95% confidence interval mean?

  • That 95% of the population is within the interval
  • That 95% of the sample data lies within the interval
  • That the interval captures the true population parameter 95% of the time
  • That there is a 95% chance that the interval contains the mean
A 95% confidence interval means that if the same population is sampled on numerous occasions and interval estimates are made on each occasion, the resulting intervals would bracket the true population parameter in approximately 95% of the cases.
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