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In Hypothesis Testing 1, you were introduced to the ideas of hypothesis testing in the context of deciding whether a coin was fair or biased in favor of heads. In this section hypothesis testing ...
If the data falls in the critical region, statisticians reject the null hypothesis in favor of the alternative. A one-tailed test in statistics is used to determine if a sample mean is significantly ...
Hypothesis testing problems in which the null hypothesis is simple, the parameter space is finite dimensional and the supports of the probability measures are independent of the parameter are ...
In this article, we revisit some problems in non-parametric hypothesis testing. First, we extend the classical result of Bahadur & Savage [Ann. Math. Statist. 25 (1956) 1115] to other testing problems ...