When estimating y = beta_0 + beta_1x_1 + beta_2x_2 + beta_3x_3 + epsilon, you wi

Question

When estimating y = beta_0 + beta_1x_1 + beta_2x_2 + beta_3x_3 + epsilon, you wish to test H_0: beta_1 - beta_2 = 0 versus H_A: at least one beta_i notequalto 0. The value of the test statistic is F(2, 20) = 2.50 and its associated p-value is 0.1073. At the 5% significance level, the conclusion is to ___ reject the null hypothesis and conclude that x_1 and x_2 are jointly significant not reject the null hypothesis and conclude that x_1 and x_2 are not jointly significant not reject the null hypothesis and conclude that x_1 and x_2 are jointly significant reject the null hypothesis and conclude that x_1 and x_2 are not jointly significant

Explanation / Answer

A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

Here, p value > alpha

So, it indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

Option C

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