# What can be inferred from a 95% confidence interval on a correlation coefficient?

If the only information you have for a pearson's correlation is the 95% confidence interval, what can you infer from that data?

For example, if you had a correlation coefficient of (0.24;0.78) what would be the best inference to make?

I don't have a strong background in stats so if someone could explain it without lots of equations that would be preferable, thanks!

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possible duplicate of What, precisely, is a confidence interval? –  Nick Stauner Mar 25 '14 at 0:10
Thanks! Unfortunately that post doesn't really answer my question :/ –  user42458 Mar 25 '14 at 0:13
Confidence has a specific statistical meaning that I would not equate with "certainty". Also, what Pearson's correlation coefficient are you referring to? If you mean the population parameter $\rho$, you're wrong. If you mean the sample statistic $r$ for future samples drawn randomly from the same population, that should be specified. –  Nick Stauner Mar 25 '14 at 0:22
Confidence intervals like this are consistent with about $n = 27, r = 0.571$, but don't take this more precisely than it deserves. I assume Fisher z transformation. –  Nick Cox Mar 25 '14 at 9:42