Suppose a statistician chose to test a hypothesis at = 0.01. The critical value for a

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Suppose a statistician chose to test a hypothesis at α = 0.01. The critical value for a right-tailed test is +2.33. If the test value were 1.97, what would the decision be? What would happen if, after seeing the test value, she decided to choose α = 0.05? What would the decision be? Explain the contradiction, if there is one.

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