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9.0 Hypothesis Testing - Duke University

The test statistic is a one-number summary of all the information in the sample regarding the correctness of the alternative hypothesis. Different kinds of hypothesis tests (e.g., about means, proportions, differences of means, differences of proportions, etc.) require different test statistics.

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Some Hypothesis Testing Examples

When originally setting the rates they believed that the average claim amount was $1,800. They are concerned that the true mean is actually higher than this, because they could potentially lose a lot of money. They randomly select 40 claims, and calculate a sample mean of $1,950.

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