SOCC23H3 Lecture Notes - Lecture 6: Test Statistic, Statistical Hypothesis Testing, Null Hypothesis
Document Summary
Another application of the hypothesis test procedure is to compare two or more samples with sample data drawn randomly from those populations. Today we will focus on comparing two samples; next week we will extend the analysis to consider three or more samples. As we follow the 5-step procedure for hypothesis testing, there are several changes that distinguish the two-sample hypothesis test from the one-sample hypothesis test we discussed last week: Step 1: we must assume that samples are drawn independently from one another. Step 2: the null hypothesis becomes a statement about the lack of difference between two populations: ho: 1 = 2. Step 3: the sampling distribution will refer to the difference between two sample statistics. Step 4: the basic form of our test statistic calculation remains the same, though there are some special modifications necessary. Step 5: no changes from the one-sample case.