nstat4 7 P 018 Changes in the size of the Confidence Interval: the size (width)

Question

nstat4 7 P 018 Changes in the size of the Confidence Interval: the size (width) of the confidence interval when the following changes are made. Suppose you are constructing confidence intervals about a mean or proportion. Answer the following questions about (a) If the confidence level increases, then which of the following is true? O The confidence interval gets smaller O The confidence interval gets larger. O The confidence interval does not change size. (b) If the sample size decreases while the confidence level and sample statistics remain constant, then which of the following is true? O The confldence interval gets smaller. O The confidence interval does not change size. The confidence interval gets larger Additional Materials G eBook

Explanation / Answer

A)

If the confidence level increases, then the value of z-score corresponding to that interval is also increased, making the width of confidence interval larger

Ans: the confidence interval gets smaller

B)

If sample size increases width of resulting in smaller width of confidence interval
Ans: confidence interval gets smaller

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