If a researcher chooses a confidence level greater than the 95%, which of the following will occur?
A) a smaller confidence interval that contains the population mean
B) a larger confidence interval that contain the population mean
C) a loss of precision in estimating the sample mean
D) a loss of precision in estimating the population mean

Question

Quizplus · Accepted Answer

Choosing a confidence level greater than 95% means the researcher wants to be more certain that the calculated confidence interval contains the true population mean. To achieve this higher level of confidence, they would need to widen the confidence interval, resulting in a larger range of values that could potentially contain the population mean. Therefore, option B is correct. Option A is incorrect because a smaller confidence interval would suggest a higher degree of precision, which is the opposite of what happens when the confidence level is increased. Options C and D are also incorrect because the precision of estimating the means is not affected by changing the confidence level.

If a Researcher Chooses a Confidence Level Greater Than the 95