How Small Must a P-Value Be in Order to Consider

question 14

Multiple Choice

How small must a P-value be in order to consider it convincing evidence against the null hypothesis?

• A) Statement I: The P-value must always be less than 0.05 (5% significance level).
• B) Statement II: The P-value must be small enough to persuade others to believe H_a instead of H₀.
• C) Statement III: The P-value must be very small if the risk of changing from H₀ to H_a is large.
• D) Both statement II and III.
• E) Statements I, II, and III are all correct.

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Definitions:

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