Maxwell Cantor, VP of Human Resources of Asimov Aerospace Industries $\alpha$

Multiple Choice

Maxwell Cantor, VP of human resources of Asimov Aerospace Industries Inc., is reviewing the technical certifications of employees in different divisions of the company.His goal is to have at least 90% of technical employees with up-to-date certifications.The north-east division typically has maintained higher rates of up-to-date certifications than the southern division.He selects a random sample of 250 employees from the north-east division and 300 from the southern division and finds out that the number of employees with up-to-date certifications are 230 in the north-east division and 265 in the southern division.Assuming $\alpha$ = 0.01, the appropriate decision is ______.

A) do not reject the null hypothesis $\mu$ ₁ − $\mu$ ₂ = 0
B) do not reject the null hypothesis p₁ − p₂ ≤ 0
C) reject the null hypothesis $\mu$ ₁ − $\mu$ ₂ = 0
D) reject the null hypothesis p₁ − p₂ = 0
E) do not reject the null hypothesis p₁ − p₂ > 0