We are interested in testing the following hypotheses. H₀: $\mu$₁- $\mu$₂ $\ge$ 0 H_a: $\mu$₁- $\mu$₂

Question

We are interested in testing the following hypotheses.
H₀:

\mu

₁-

\mu

₂

\ge

0
H_a:

\mu

₁-

\mu

₂ < 0
The test statistic Z is computed to be 2.83. The p-value for this test is

Quizplus · Accepted Answer

The p-value for the test is P(Z > 2.83) = 0.0023 (using a standard normal distribution table). Since this p-value is less than the typical significance level of 0.05, we reject the null hypothesis H₀ in favor of the alternative hypothesis H_a.

We Are Interested in Testing the Following Hypotheses μ\muμ 1- μ\muμ 2 ≥\ge≥

We Are Interested in Testing the Following Hypotheses $\mu$ ₁- $\mu$ ₂ $\ge$