Which of the following is not true of the confidence level of a confidence interval?

Which of the following is NOT true of the confidence level of a confidence​ interval? A. The confidence level is often expressed as the probability or area 1minus−alphaα​, where alphaα is the complement of the confidence level. B. There is a 1minus−alphaα ​chance, where alphaα is the complement of the confidence​ level, that the true value of p will fall in the confidence interval produced from our sample. C. The confidence level is also called the degree of confidence. D. The confidence level gives us the success rate of the procedure used to construct the confidence interval.

Answer

There is a 1 – ​α chance, where α is the complement of the confidence​ level, that the true value of p will fall in the confidence interval produced from our sample.

The confidence level is the probability that the confidence interval actually does contain the true value of​ p, not the other way around. Saying that​ “there is a 1 – α ​chance, where α is the complement of the confidence​ level, that the true value of p will fall in the confidence interval produced from our​ sample” is a common misinterpretation of the confidence interval.

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