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第23讲 假设检验习题课(Twenty-third, hypothesis testing exercises) Twenty-third, hypothesis testing exercises The purpose of teaching: to further understand the basic concept of hypothesis testing through this study, and to master the hypothesis test of a normal population and two normal population parameters. Teaching emphasis: a summary of the basic methods of hypothesis testing. Teaching difficulty: hypothesis testing of large sample parameters of non normal population. Teaching hours: 1 hours. Teaching process: I. review of the main points of knowledge 1. the principle of hypothesis testing Small probability events rarely occur in an experiment. Hypothesis testing method Confidence interval method. Hypothesis testing procedure: (1) put forward the testing hypothesis according to the questions to be tested, including the original hypothesis, EMBED, Equation.3 and alternative hypothesis EMBED, Equation.3. (2) a statistic is selected according to the known conditions, and the distribution of the statistic is known when the EMBED Equation.3 is established. (3) determine the rejection region of EMBED Equation.3 based on the significance level, EMBED, Equation.3, the distribution critical table of the selected statistic. (4) calculate the statistic according to the observation value of the sample, and compare it with the critical value. Conclusion: (5) if the calculated statistics in EMBED Equation.3 refused domain, refused to accept the EMBED Equation.3, EMBED Equation.3; if the calculated statistics are not in the EMBED Equation.3 domain is refused to accept EMBED, Equation.3, EMBED and Equation.3 declined. Two types of errors and their relations that are easy to be tested by hypothesis testing (1) two types of errors: really abandoned the error (first class error, the mistake probability does not exceed the level of EMBED Equation.3) and pseudo error (second types of errors, the mistake probability is usually denoted as EMBED Equation.3). (2) the relationship between the two
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