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When Estimating Y = β0 + β1x1 + β2x2

Question 83

Multiple Choice

When estimating y = β0 + β1x1 + β2x2 + β3x3 + ε, you wish to test H0: β1 = β2 versus HA: 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; we cannot conclude that the influence of x1 on y is different from the influence of x2 on y.
B) reject the null hypothesis; we can conclude that the influence of x1 on y is different from the influence of x2 on y.
C) not reject the null hypothesis; we can conclude that the influence of x1 on y is different from the influence of x2 on y.
D) not reject the null hypothesis; we cannot conclude that the influence of x1 on y is different from the influence of x2 on y.

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