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Mathematics, 15.04.2020 19:15 gabbys2002

Suppose that you perform a significance test and, based on the p-value, decide to reject the null hypothesis at the α = 0.05 significance level. Then suppose that your colleague decides to conduct the same test on the same data but using α = 0.10 as significance level. For the new significant level, would you reject the null hypothesis, fail to reject the null hypothesis, or would you not have enough information to say? (Hint: First ask yourself what must be true about the p-value based on your decision to reject the null hypothesis at the α = 0.05 significance level.)

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