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

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 having 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