Which term describes the probability that a constructed confidence interval will contain the true population parameter?

Which term describes the probability that a constructed confidence interval will contain the true population parameter?

• A. Margin of Error
• B. Confidence Level
• C. Null Hypothesis
• D. Degrees of Freedom

Answer: (B)

The long-run success rate of the interval in capturing the true parameter is described by the confidence level. It’s the probability, usually expressed as a percentage like 95%, that a method will produce intervals containing the true population parameter if you repeated the study many times with new samples. In other words, about that proportion of constructed intervals would include the parameter across many repetitions. The margin of error determines how wide a single interval is, based on variability and the chosen critical value, but it does not itself specify the probability that a particular interval contains the parameter. The null hypothesis is a statement tested in hypothesis testing, and degrees of freedom relate to how much information goes into the estimate, affecting the critical value rather than the interval’s containment probability. So, the term that fits is the confidence level.

The long-run success rate of the interval in capturing the true parameter is described by the confidence level. It’s the probability, usually expressed as a percentage like 95%, that a method will produce intervals containing the true population parameter if you repeated the study many times with new samples. In other words, about that proportion of constructed intervals would include the parameter across many repetitions. The margin of error determines how wide a single interval is, based on variability and the chosen critical value, but it does not itself specify the probability that a particular interval contains the parameter. The null hypothesis is a statement tested in hypothesis testing, and degrees of freedom relate to how much information goes into the estimate, affecting the critical value rather than the interval’s containment probability. So, the term that fits is the confidence level.