6 Hypothesis testing - Hypothesis testing Hypothesis...

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Hypothesis testing Hypothesis testing asks how unusual it is to get data that differ from the null hypothesis. If the data would be quite unlikely under H 0 , we reject H 0 . So we imagine making an infinite number of samples, from a distribution where men and women have the same height. Hypothesis testing in a nutshell Population We want to know something about this population, say, are men and women the same height, on average? We can't measure everyone- it would take too long and cost too much. So we take a sample, and meaure those. For these we estimate the difference between men and women's mean height. Sample But we have a problem: The sample doesn't have the same properties as the population, because of chance errors. So we need to know how good the sample is, and how likely it is that it is much different from the population. We make an estimate from each of So we imagine making an infinite number of samples, from a distribution where men and women have the same height. sample is, and how likely it is that it is much different from the population. We make an estimate from each of these samples, and from these we can calculate the sampling distribution of the estimate. Frequency Difference in mean height If the actual sample value is so different from what we would expect samples to look like, then we can say that the men in this population are on average taller than the women. Difference in mean height
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Hypotheses are about populations, but are tested with data from samples Hypothesis testing usually assumes that sampling is random. Null hypothesis
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This note was uploaded on 04/16/2010 for the course MATHEMATIC 1231 taught by Professor Driscoll during the Spring '10 term at Clayton College of Natural Health.

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6 Hypothesis testing - Hypothesis testing Hypothesis...

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