Maureen McIlvoy, Owner and CEO of a Mail Order Business $\alpha$

Multiple Choice

Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling operations at her warehouses. Her goal is 100% of orders shipped within 24 hours. In previous years, neither warehouse has achieved the goal, but the East Coast Warehouse has consistently out-performed the West Coast Warehouse. Her staff randomly selected 200 orders from the West Coast Warehouse (population 1) and 400 orders from the East Coast Warehouse (population 2) , and reports that 190 of the West Coast Orders were shipped within 24 hours, and the East Coast Warehouse shipped 356 orders within 24 hours. Assuming $\alpha$ = 0.05, the appropriate decision is ___.

A) reject the null hypothesis π₁ - π₂ = 0
B) reject the null hypothesis $\mu$ ₁ - $\mu$ ₂ ≤ 0
C) do not reject the null hypothesis $\mu$ ₁ - $\mu$ ₂ = 0
D) do not reject the null hypothesis π₁ - π₂ = 0
E) do not reject the null hypothesis π₁ - π₂ ≥ 0