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 p₁ - p₂ = 0 B)reject the null hypothesis $\mu$₁ - $\mu$₂

Question

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 p₁ - p₂ = 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 p₁ - p₂ = 0 E)do not reject the null hypothesis p₁ - p₂ ≥ 0

Quizplus · Accepted Answer

The correct answer is A because the p-value is less than 0.05, which means that there is a statistically significant difference between the two warehouses in terms of the proportion of orders shipped within 24 hours.

Maureen McIlvoy, Owner and CEO of a Mail Order Business α\alphaα

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