What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis? 

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