The Best Example of an Alternate Hypothesis for a Global $\beta$

question 27

Multiple Choice

The best example of an alternate hypothesis for a global test of a multiple regression model is:

• A) H₁: \(\beta\)₁ = \(\beta\)₂ = \(\beta\)₃ = \(\beta\)₄.
• B) H₁: \(\beta\)₁ \(\neq\)\(\beta\)₂ \(\neq\)\(\beta\)₃ \(\neq\)\(\beta\)₄.
• C) H₁: Not all the \(\beta\)'s are 0.
• D) if F is less than 20.00 then fail to reject.

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Definitions:

P-value

The p-value is a measure of the probability of observing results at least as extreme as those measured when the null hypothesis of a study is true.

Correct Decision

A decision made in statistical hypothesis testing that accurately reflects the true state of the world.

Type I Error

The mistake of rejecting a true null hypothesis or falsely claiming to detect an effect that does not actually exist.

Type II Error

A statistical mistake made by failing to reject a false null hypothesis; not detecting an effect or difference when there actually is one.