When the following hypotheses are being tested at a level of significance of α
H₀: μ 500
H_a: 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

When the following hypotheses are being tested at a level of significance of α H<sub>0</sub>: μ 500 H<sub>a</sub>: μ < 500 The null hypothesis will be rejected, if the p-value is A) α. B) > α. C) = α/2. D) 1 - α/2.

500
H_a: μ < 500

The null hypothesis will be rejected, if the p-value is

Quizplus · Accepted Answer

The null hypothesis will be rejected if the p-value is less than the level of significance (α). Therefore, if p-value is greater than α, then we fail to reject the null hypothesis. Choice C and D refer to a two-sided hypothesis test, whereas the given test is a one-sided test. Therefore, the correct answer is choice A.

When the Following Hypotheses Are Being Tested at a Level