Which of the following statements is correct?
A) As the standard error decreases, the margin of error decreases.
B) The larger the margin of error, the wider the confidence interval will be.
C) Both "a" and "b" are correct.
D) None of the above is correct.

Question

Quizplus · Accepted Answer

Both statements A and B are correct. A smaller standard error indicates that the sample mean is more precisely estimated, leading to a smaller margin of error. A larger margin of error indeed results in a wider confidence interval, reflecting greater uncertainty in estimating the population parameter.

Which of the Following Statements Is Correct