Hypothesis Testing Using z- and t-tests

B. Weaver (27-May-2011) z- and t-tests .. 1 Hypothesis Testing Using z- and t-tests In Hypothesis Testing , one attempts to answer the following question: If the null Hypothesis is assumed to be true, what is the probability of obtaining the observed result, or any more extreme result that is favourable to the alternative Hypothesis ?1 In order to tackle this question, at least in the context of z- and t-tests , one must first understand two important concepts: 1) sampling distributions of statistics, and 2) the central limit theorem. Sampling Distributions Imagine drawing (with replacement) all possible samples of size n from a population, and for each sample, calculating a , the sample mean. The frequency distribution of those sample means would be the sampling distribution of the mean (for samples of size n drawn from that particular population).

Hypothesis Testing Using z- and t-tests In hypothesis testing, one attempts to answer the following question: If the null hypothesis is ... the test statistic, and compare it to the critical value, which they looked up in a table. Tables of critical values can take up a …

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