Consider the two statements regarding the confidence level shown below.
I.The confidence level is the mathematical expression of our confidence that
The population estimate lies within the confidence interval.
II.The confidence level is the range into which the true population parameter will
Fall,assuming a given level of confidence.
How may,if any,of these statements is (are)true?
A)I only
B)II only
C)I and II are both true
D)Neither I nor II are true

Question

Quizplus · Accepted Answer

Statement I is true. The confidence level is a measure of the degree of certainty we have that the true population parameter falls within the confidence interval we have computed.

Statement II is false. The confidence level does not represent a range into which the true population parameter will fall. The parameter is a fixed value (assuming the population is well-defined) and we do not know what it is. The confidence level only represents the probability that the interval we have computed (based on our sample) contains the true parameter.

Consider the Two Statements Regarding the Confidence Level Shown Below