The correct interpretation of the confidence level is alternative: Ninety-nine percent of all the samples of size 4,000 lie in the confidence interval (0.3474, 0.7526).
The confidence level represents the percentage of intervals that would include the population parameter if you sampled the same population over and over again. A 95% confidence level usually works well. This indicates that if you took a hundred samples, and you calculated 95% confidence intervals, you would expect approximately 95% of the intervals to contain the population parameter, such as the population mean.
With that said, the correct interpretation of the confidence level is that at x% confidence level , we say that x% of all samples possible of the mentioned size will fall between the calculated range. Therefore, The correct interpretation of the confidence level is alternative: Ninety-nine percent of all the samples of size 4,000 lie in the confidence interval (0.3474, 0.7526).
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