Question

1. The CEO of a mail order business is reviewing the order filling operations at their two warehouses. The goal is to have 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.
To compare the current performance of the warehouses, they decide to conduct a hypothesis test at the 5% significance level. They randomly select 350 orders from the West Coast Warehouse (population 1) and 400 orders from the East Coast Warehouse (population 2). They found that 310 of the West Coast Orders were shipped within 24 hours, and the East Coast Warehouse shipped 365 orders within 24 hours. What is the p-value for testing the hypothesis whether there is a difference in the proportion of shipments at the two warehouses ?

2.

The CEO of a mail order business is reviewing the order filling operations at their two warehouses. The goal is to have 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.
To compare the current performance of the warehouses, they decide to conduct a hypothesis test at the 5% significance level. They randomly select 300 orders from the West Coast Warehouse (population 1) and 250 orders from the East Coast Warehouse (population 2). They found that 267 of the West Coast Orders were shipped within 24 hours, and the East Coast Warehouse shipped 212 orders within 24 hours. What is the p-value for testing the hypothesis that the West Coast Warehouse is now outperforming the East Coast Warehouse ?

(Use 4 decimals)

Answer 1