Question

The confidence level in a confidence interval represents:

Select one:

a) How sure we are of having well estimated the parameter
b) The probability that that particular interval contains the true value of the parameter
c) None of the exposed options
d) The probability that the real value of the parameter is within that interval at a given moment

*Please explain or show the steps to solve this problem*

Answer 1

Answer : The confidence level in a confidence interval represents : The probability that that particular interval contains the true value of the parameter (OPTION b)

Reason: In survey sampling, different samples can be randomly selected from the same population; and each sample can often produce a different confidence interval. Some confidence intervals include the true population parameter; others do not. A confidence level refers to the percentage (probability) of all possible samples that can be expected to include the true population parameter. For example, suppose all possible samples were selected from the same population, and a confidence interval were computed for each sample. A 0.95 confidence level implies that 95% of the confidence intervals would include the true population parameter.

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