For a 95% confidence level, using the boundaries that capture the middle 95% of the bootstrap distribution is equivalent to getting a value for minus a number, and for plus a number. The numbers subtracted and added won't be the same since the bootstrap distribution would not be symmetric.

Question

For a 95% confidence level, using the boundaries that capture the middle 95% of the bootstrap distribution is equivalent to getting a value for  minus a number, and for  plus a number. The numbers subtracted and added won't be the same since the bootstrap distribution would not be symmetric.

Quizplus · Accepted Answer

This is true because the boundaries that capture the middle 95% of the bootstrap distribution correspond to the 2.5th and 97.5th percentiles of the distribution, which are obtained by subtracting and adding a value to the original estimate. The values subtracted and added are not the same because the bootstrap distribution may not be symmetric.

For a 95% Confidence Level, Using the Boundaries That Capture