In a one-tailed hypothesis test in which the null hypothesis is $\mu$₁ $\mu$₂, suppose sample results lead you to reject the null hypothesis at the 1% significance level.Which of the following statements must be true? A)$\mu$₁ - $\mu$₂must be greater than 0. B)you would also reject the null hypothesis at the 5% significance level. C)the sample mean difference is not statistically significant at the 5% significance level. D)the p-value for the sample mean difference could be.025.

Question

In a one-tailed hypothesis test in which the null hypothesis is $\mu$₁ > $\mu$₂, suppose sample results lead you to reject the null hypothesis at the 1% significance level.Which of the following statements must be true? A)$\mu$₁ - $\mu$₂must be greater than 0. B)you would also reject the null hypothesis at the 5% significance level. C)the sample mean difference is not statistically significant at the 5% significance level. D)the p-value for the sample mean difference could be.025.

Quizplus · Accepted Answer

If you reject the null hypothesis at the 1% significance level, it means the evidence against the null hypothesis is strong enough to meet a stricter criterion. Therefore, you would also reject the null hypothesis at any higher significance level, such as 5%, because the 5% level is less strict than the 1% level.

In a One-Tailed Hypothesis Test in Which the Null Hypothesis μ\muμ

In a One-Tailed Hypothesis Test in Which the Null Hypothesis $\mu$