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If we do not reject the null hypothesis, can we claim to have proven that the null hypothesis is true? Why or why not? O a Yes if the

If we do not reject the null hypothesis, can we claim to have proven that the null hypothesis is true? Why or why not? O a Yes if the

Calculus For The Life Sciences
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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If we do not reject the null hypothesis, can we claim to have proven that the null hypothesis is true? Why or why not? O a. Yes, if the conditions are satisfied and the p-value is larger than the significance level, then the null hypothesis is proven to be true. O b. No, we do not use the word "proven" because we cannot be 100% sure our conclusions are correct. O c. No, we never know the value of the unknown parameter. O d. Both (b) and (c) are correct. A Moving to another question will
Transcribed Image Text:If we do not reject the null hypothesis, can we claim to have proven that the null hypothesis is true? Why or why not? O a. Yes, if the conditions are satisfied and the p-value is larger than the significance level, then the null hypothesis is proven to be true. O b. No, we do not use the word "proven" because we cannot be 100% sure our conclusions are correct. O c. No, we never know the value of the unknown parameter. O d. Both (b) and (c) are correct. A Moving to another question will
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