I have a very basic question regarding confidence intervals. I am confused between two interpretations of confidence intervals.

Interpretation 1:

If repeated samples were taken and the 95% confidence interval computed for each sample, 95% of the intervals would contain the population mean.5% of the intervals would not contain the population mean

Interpretation 2: If we were to take 100 additional samples, 95 times out of 100, the population mean rate would fall between 2.5% and 17.5%.

Which of these would be correct?

  • $\begingroup$ Maybe the section 3. of this answer will help you: stats.stackexchange.com/questions/167972/… $\endgroup$
    – user83346
    Aug 23, 2015 at 9:03
  • $\begingroup$ Thank you. This is exactly what I was looking for. From that it seems to me that the first implication is correct $\endgroup$ Aug 23, 2015 at 9:12
  • $\begingroup$ I agree with you, don't thank me, but vote for my answer I referred to if you think it helped you $\endgroup$
    – user83346
    Aug 23, 2015 at 9:15
  • $\begingroup$ Also see discussion here and here and here $\endgroup$
    – Glen_b
    Aug 23, 2015 at 9:35