一、假设检验的基本原理数理统计学的基本问题是根据样本所提供的信息,对总体的分布以及特征数作出统计推断.其中的一类问题是用样本信息推断总体的某些参数,如用样本期望和方差估计总体的期望和方差;另一类问题是所谓的假设检验问题,即先对总体提出一个假设,再通过对样本数据的统计分析去推断这个假设是否可以接受. I. The Fundamental Principles of Hypothesis Testing The basic problem of mathematical statistics is to make statistical inferences about the population distribution and the number of features based on the information provided by the samples, one of which is to infer some of the overall parameters using sample information, Sample Expectations and Variances Estimate the overall expectations and variances; the other is the so-called hypothesis test, which first makes a hypothesis for the population as a whole and then extrapolates the hypothesis by the statistical analysis of the sample data.