When the following hypotheses are being tested at a level of significance of α H0: μ ≥ 500 Ha: μ < 500
The null hypothesis will be rejected if the p-value is

Question

When the following hypotheses are being tested at a level of significance of α H0: μ ≥ 500 Ha: μ < 500
The null hypothesis will be rejected if the p-value is
A) ≤ α
B) > α
C) > α/2
D) ≤ 1 - α/2

Quizplus · Accepted Answer

When testing for a one-tailed hypothesis at a level of significance of α, the null hypothesis will be rejected if the p-value is less than or equal to α. This is because the p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true. Therefore, if the p-value is very small (less than or equal to α), it is unlikely that the null hypothesis is true, and we reject it in favor of the alternative hypothesis.

When the Following Hypotheses Are Being Tested at a Level