A 99% confidence interval estimate can be interpreted to mean that: A) if all possible sample sizes of n are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval. B) we have 99% confidence that we have selected a sample whose interval does include the population mean. C) Both of the above. D) None of the above.

Question

Mathematics

Rhys Townsend

4 August, 17:14

A 99% confidence interval estimate can be interpreted to mean that: A) if all possible sample sizes of n are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval. B) we have 99% confidence that we have selected a sample whose interval does include the population mean. C) Both of the above. D) None of the above.

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Answers (1)

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Alana Morton · Answer 1

The correct option is C) Both of the above.

Step-by-step explanation:

Consider the provided statement.

First understand the meaning of Confidence level.

Confidence level refers to the percentage of likelihood, or assurance, that when you draw a random sample several times, the confidence interval will contain the true population variable.

99% confidence means We are 99% sure that most of these confidence intervals contain the true parameter of the population.

Therefore, both the statement are correct.

Hence, the correct option is C) Both of the above.