In this paper we examine the properties of the Wilson score interval, used for inferences for an unknown binomial proportion parameter. We examine monotonicity and consistency properties of the interval and we generalise it to give two alternative forms for inferences undertaken in a finite population. We discuss the nature of the "finite population correction" in these generalised intervals and examine their monotonicity and consistency properties. This analysis gives the appropriate confidence interval for an unknown population proportion or unknown unsampled proportion in a finite or infinite population. We implement the generalised confidence interval forms in a user-friendly function in R.
翻译：在本文中,我们研究威尔逊分数间隔的属性,用于对未知的二元比例参数进行推论。我们研究了这一间隔的单一度和一致性属性,并概括了该间隔的单一度和一致性属性,为有限人群的推论提供了两种替代形式。我们讨论了这些一般间隔中的“绝对人口校正”的性质,并研究了其单一度和一致性属性。本分析为一定或无限人口中未知人口比例或未知的未取样比例提供了适当的置信度间隔。我们用方便用户的功能在 R 中执行通用置信度间隔。
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