We have calculated a 95% confidence interval and would like our next confidence interval to have a smaller margin of error without losing any confidence. In order to do this, we can
A) change the z* value to a smaller number.
B) take a larger sample.
C) take a smaller sample.
D) use z* = 2.576.
E) use z* = 1.645 and decrease size of sample.

Question

Quizplus · Accepted Answer

To decrease the margin of error without losing confidence, we need to increase the sample size. Option B suggests taking a larger sample, which would reduce the margin of error of the confidence interval. Option A would decrease the level of confidence, option C would increase the margin of error, and option D suggests using a specific z* value that may not be appropriate for the given data. Option E suggests decreasing the sample size, which would increase the margin of error. Therefore, the best choice is B.

We Have Calculated a 95% Confidence Interval and Would Like