STATS 250 Lecture Notes - Lecture 6: Standardized Test, Dependent And Independent Variables, Sampling Distribution
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Random samples are taken separately from two populations and the same response variable is recorded for each individual. Participants are randomly assigned to one of two treatment conditions, and the same response variable, such as weight loss, is recorded for each individual unit. First, we want to estimate the value of the difference. Second, often we want to test the hypothesis that the difference is 0, which would indicate that the two proportions are equal. In either case, we will need to know about the sampling distribution for the difference in two sample proportions (from independent samples). Imagine repeating the study many times, each time taking two independent random samples of sizes n1 and n2, and computing the value of. 1 independent random samples of the same sizes from the same two populations. estimates, roughly, the average distance of the possible values result from considering all possible values from p1 p2.
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