If a particular result is statistically significant at the 0.05 level, must it also be statistically significant

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If a particular result is statistically significant at the 0.05 level, must it also be statistically significant at the 0.01 level? Why or why not?
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Statistical Reasoning for Everyday Life

ISBN: 978-0321817624

4th edition

Authors: Jeff Bennett, Bill Briggs, Mario F. Triola

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