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

Quizplus · Accepted Answer

Taking a larger sample size generally decreases the standard error, making the interval narrower. Decreasing the confidence level also makes the interval narrower because it reduces the critical value (z* or t*), which is multiplied by the standard error to determine the width of the confidence interval.

Suppose a 95% Confidence Interval for Has Been Constructed