Consider a test for µ. If the P-value is such that you can reject H0 for α=0.01, can you always reject H0 for α =0.05? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
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Consider a test for µ. If the P-value is such that you can reject H0 for α=0.01, can you always reject H0 for α =0.05? Explain.

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From the given information,

Consider, a test for µ.

While testing the µ it is already given that the P-value is such that it can reject null hypothesis for α=0.01 that means p-value is less than the significance level that is, p-value<α=0.01 as a result null hypothesis gets rejected with given level of significance .

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