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In a hypothesis test for a population mean, results were found to be statistically significant at the $\alpha = 0.02$ level.

Which of the following statements would also be true about the results of this test?

A

The results would be statistically significant at the $\alpha = 0.01$ level.

B

The p-value obtained for this test was $p = 0.02$.

C

The results would be statistically significant at the $\alpha = 0.05$ level.

D

Since the results were statistically significant at the $\alpha = 0.02$ level, we have sufficient evidence to prove that our null hypothesis was false.

E

A mistake was made in considering the results to be statistically significant. We can only consider our results to be statistically significant if $\alpha > 0.05$.

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