If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer. No, the test was conducted with a risk of a type I error. No, the test was conducted with a risk of a type II error.     Yes, the test was conducted with a risk of a type I error. Yes, if we reject the null that suggests that it is false beyond all doubt.

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 26E
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If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.

No, the test was conducted with a risk of a type I error.
No, the test was conducted with a risk of a type II error.    
Yes, the test was conducted with a risk of a type I error.
Yes, if we reject the null that suggests that it is false beyond all doubt.
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