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Significance Levels and Test Conclusions

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A researcher performs a hypothesis test on the same data to compare two population proportions at three different significance levels. Which of the following combinations of results is impossible?

A

Fail to reject at α = 0.05, fail to reject at α = 0.01, fail to reject at α = 0.001

B

Reject at α = 0.05, fail to reject at α = 0.01, fail to reject at α = 0.001

C

Reject at α = 0.05, reject at α = 0.01, reject at α = 0.001

D

Reject at α = 0.05, fail to reject at α = 0.01, reject at α = 0.001

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