When testing linear restrictions,the test statistic is assumed to follow the y = β₀ + β₁x₁ + β₂x₂+ β₃x₃ + ε,you wish to test H₀: β₁= β₂versus 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

Question

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The null hypothesis is that the slopes of x1 and x2 are equal, while the alternative hypothesis is that they are not equal. Since the p-value is less than the significance level (1%), we reject the null hypothesis, which means that there is evidence that the slopes of x1 and x2 are not equal. Therefore, the conclusion is to reject the null hypothesis and conclude that the influence of x1 and x2 on y is not the same.

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