In hypothesis testing, why can't the hypothesis be proved true?

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.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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In hypothesis testing, why can't the hypothesis be proved true?
The null hypothesis states equality, and equality can never be proven.
The null hypothesis is only a guess, and our sample can prove it false but not true.
The only way to prove something would be to use the entire population under study.
The only way to prove something would be to use a sample larger than is practical.
Transcribed Image Text:In hypothesis testing, why can't the hypothesis be proved true? The null hypothesis states equality, and equality can never be proven. The null hypothesis is only a guess, and our sample can prove it false but not true. The only way to prove something would be to use the entire population under study. The only way to prove something would be to use a sample larger than is practical.
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