Confidence Interval is defined as?

Confidence Interval is defined as?

• A. A range of values so defined that there is a specified probability that the value of a parameter lies within it.
• B. The central tendency of a sample
• C. The exact population value
• D. The sum of squared deviations

Answer: (A)

Confidence interval is a range of values computed from sample data that aims to capture the true population parameter. It is constructed so that, if we could repeat the study many times, a specified proportion of these intervals would contain the parameter—the confidence level (for example, 95%). This expresses our uncertainty about the parameter rather than giving an exact value, and it relies on the sampling distribution and the variability in the data. It differs from the central tendency of the sample, which is a single point estimate, from the idea of an exact population value, and from the sum of squared deviations, which measures spread rather than where the parameter lies.

Confidence interval is a range of values computed from sample data that aims to capture the true population parameter. It is constructed so that, if we could repeat the study many times, a specified proportion of these intervals would contain the parameter—the confidence level (for example, 95%). This expresses our uncertainty about the parameter rather than giving an exact value, and it relies on the sampling distribution and the variability in the data. It differs from the central tendency of the sample, which is a single point estimate, from the idea of an exact population value, and from the sum of squared deviations, which measures spread rather than where the parameter lies.