In a 95% confidence level, what does the 95% represent?
Understand the Problem
The question is asking for the interpretation of the 95% confidence level in statistics, specifically what the percentage signifies in terms of data sampling and population parameters.
Answer
The likelihood that the true population parameter lies within the margin of error.
The 95% confidence level indicates the likelihood that the true population parameter lies within the confidence interval.
Answer for screen readers
The 95% confidence level indicates the likelihood that the true population parameter lies within the confidence interval.
More Information
A 95% confidence interval means that if you repeated the process of sampling and calculating intervals numerous times, 95% of the intervals would contain the true population mean.
Tips
A common mistake is thinking the probability relates to one specific interval rather than a set of intervals.
Sources
- Confidence interval - Wikipedia - en.wikipedia.org
- Understanding Confidence Intervals | Easy Examples & Formulas - scribbr.com
- What Is a Confidence Interval and How Do You Calculate It? - investopedia.com
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