Which of the following would be the best interpretation of 99% confidence? A) If

Question

Which of the following would be the best interpretation of 99% confidence?

A) If we were to take 100 samples, then approximately 95 would contain the true value of the mean and approximately 5 would not.

B) If we were to take 100 samples, then approximately 99 would contain the true value of the mean and approximately 1 would not.    

C) If we were to take 100 samples, then exactly 99 would contain the true value of the mean and 1 would not.

D) There is a 99% probability that the confidence interval contains the true value of the mean.

E) None of the above.

Explanation / Answer

Answer to the question)

Interpretation of confidence interval:

When we say we are 99% confident , this implies that if we take 100 samples , exactly 99 out of them will contain the true population parameter within the lower confidence limit and upper confidence limit. Only 1 out of 100 will fall outside the interval

Thus the correct answer choice is C

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