Which statement reflects a common, technically inaccurate interpretation of a single realized 95% CI?
Answer
There is a 95% chance the true mean falls between X and Y.
This interpretation is incorrect because the true mean is a fixed value; for a single realized interval, the probability is either 1 or 0. The 95% confidence relates to the success rate of the method generating the interval.
Related Questions
What fundamental role do Confidence Intervals (CIs) serve beyond summarizing findings with a point estimate?What is the most frequently set level of confidence for estimation procedures?What does stating 95% confidence primarily assert about the estimation procedure itself?Which three main elements are required for the construction of a confidence interval?Assuming constant sample size, how does increasing the desired confidence level affect the Margin of Error (MOE)?How does a larger sample size generally impact the Standard Error and the resulting interval?Which statement reflects a common, technically inaccurate interpretation of a single realized 95% CI?If the 95% CI for the difference in conversion rates between two designs spans zero (e.g., -0.5% to +1.5%), what is the conclusion regarding the difference?If the 95% CI for the difference in recovery times is (2.1 days to 4.5 days), what is the appropriate decision regarding a null hypothesis of zero difference?Why is it mathematically impossible to construct a confidence interval that guarantees 100% coverage of the true population parameter?