Describe the difference between a one-tailed and a two-tailed hypothesis test. Provide examples of when you would use each type.
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One-tailed test: Tests for an effect in a specific direction (greater or less).
Example: Testing if a new drug increases recovery rates compared to the standard treatment.
Two-tailed test: Tests for an effect in both directions (any difference).
Example: Testing if a new teaching method has any impact (positive or negative) on student performance compared to the traditional method.