When Testing Linear Restrictions,the Test Statistic Is Assumed to Follow

question 81

Multiple Choice

When testing linear restrictions,the test statistic is assumed to follow the y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε,you wish to test H₀: β₁ = β₂ versus H_A: β₁ ≠ β₂ The value of the test statistic is F_(1,30) = 7.75 and its associated p-value is 0.0092.At the 1% significance level,the conclusion is to ____________________________________________________________________________.

• A) reject the null hypothesis and conclude that the influence of x1 and x2 on y is the same
• B) reject the null hypothesis and conclude that the influence of x1 and x2 on y is not the same
• C) not reject the null hypothesis and conclude that the influence of x1 and x2 on y is the same
• D) not reject the null hypothesis and conclude that the influence of x1 and x2 on y is not the same

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