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For a two-sided confidence interval, an ...

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题目

For a two-sided confidence interval, an increase in the degree of confidence will result in:

选项

A.a wider confidence interval.

B.a narrower confidence interval.

C.no change in the width of the confidence interval.

答案

A

解析

: A is correct. As the degree of confidence increases (e.g., from 95% to 99%), a given confidence interval will become wider. A confidence interval is a range for which one can assert with a given probability 1 – α, called the degree of confidence, that it will contain the parameter it is intended to estimate. : A正确。 随着置信程度的增加(例如,从95%到99%),给定的置信区间将变得更宽。置信区间是一个范围,对应一定的概率1 –α,叫做置信度,它将包含要研究估计的参数。