Which represents the confidence interval of a test where significance level is represented by α?

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In statistical terms, a confidence interval provides a range of values that is likely to contain the true population parameter, based on sample data. The significance level, denoted as α, represents the probability of rejecting the null hypothesis when it is true, commonly used in hypothesis testing.

The confidence interval is calculated as 1 - α. This figure represents the confidence level expressing how certain one can be that the interval includes the true parameter. For example, if α is set at 0.05, this implies a 5% risk of concluding that a difference exists when there is none (Type I error), which corresponds to a confidence level of 95% (or 1 - 0.05).

Therefore, the confidence interval of a test where the significance level is represented by α is accurately represented by 1 - α, highlighting how this relationship establishes the degree of certainty associated with the statistical inference being made.

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