General Ideas for Testing Hypotheses Submitted by gfj100 on Wed, 11/11/2009 - 13:40 Step 0: Assumptions 1. The samples must be independent and random samples. 2. If two proportions, then the two groups must consist of categorical responses. If two means, each group must consist of quantitative responses. If paired, then the sample data must be paired 3. If two proportions, then both samples must produce at least 5 successes and 5 failures. If two means or paired, then each group (two means) or the differences (paired) must come from an approximately normal population distribution. This is when the Central Limit Theorem can be applied: if the sample sizes for each group are at least 30, or if the number of paired differences is at least 30, then normality can be assumed. Step 1: Write Hypotheses 1 The null hypothesis is that there is no difference between the two population parameters (no difference between proportions for categorical responses, no difference between means for quantitative responses). The alternative hypothesis may be one-sided or two-sided.
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