Thanks for that 1zmm, 0.71799 +/- 1.96*0.02429 are our 95% confidence limits for our parameter estimate. This relates to an interval of (0.670382, 0.765598). Because zero is not included in this interval we can say that we are at least 95% confident that the real parameter estimate is not in fact zero. An alternative wording for this is that if we repeated this study again and again with more observations that were independently collected, we would expect 95% of them to yeild a parameter estimate within the (0.670382, 0.765598) range.
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