If a particular result is statistically significant at the 0.01 level, must it also be statistically significant

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If a particular result is statistically significant at the 0.01 level, must it also be statistically significant at the 0.05 level? Why or why not?
Does It Make Sense? For Exercises 5-8, decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer.
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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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