Suppose a 95% confidence interval for has been constructed.If it is decided to take a larger sample and to decrease the confidence level of the interval, then the resulting interval width would .(Assume that the sample statistics gathered would not change very much for the new sample.)
A)be larger than the current interval width
B)be narrower than the current interval width
C)be the same as the current interval width
D)be unknown until actual sample sizes and reliability levels were determined

Question

Suppose a 95% confidence interval for  has been constructed.If it is decided to take a larger sample and to decrease the confidence level of the interval, then the resulting interval width would .(Assume that the sample statistics gathered would not change very much for the new sample.)
A)be larger than the current interval width 
B)be narrower than the current interval width 
C)be the same as the current interval width 
D)be unknown until actual sample sizes and reliability levels were determined

Quizplus · Accepted Answer

When decreasing the confidence level, the margin of error (interval width) will decrease. This is because a higher level of confidence requires a wider interval to encompass the true population parameter. Therefore, if the confidence level is decreased, the resulting interval width will be narrower than the current interval width. As the confidence level is decreased, the interval will become narrower. This is because a lower confidence level requires less certainty about the true population parameter, allowing for a smaller range of possible values in the interval.

Suppose a 95% Confidence Interval for Has Been Constructed