# Nicki’s business ships orders from a location in Chicago and another location in Denver.

Nicki’s business ships orders from a location in Chicago and another location in Denver. She suspected that a larger proportion of orders shipped from the Denver location were arriving late. She took a random sample of 100100100 orders from each location. She found that 202020 orders in the Denver sample arrived late, and 121212 orders in the Chicago sample arrived late. She wants to use these results to test if the proportion of orders that arrive late is significantly larger at the Denver location. She will test H_0: p_\text{Denver} = p_\text{Chicago}H 0 ​ :p Denver ​ =p Chicago ​ H, start subscript, 0, end subscript, colon, p, start subscript, start text, D, e, n, v, e, r, end text, end subscript, equals, p, start subscript, start text, C, h, i, c, a, g, o, end text, end subscript versus H_a: p_\text{Denver} > p_\text{Chicago}H a ​ :p Denver ​ >p Chicago ​ H, start subscript, a, end subscript, colon, p, start subscript, start text, D, e, n, v, e, r, end text, end subscript, is greater than, p, start subscript, start text, C, h, i, c, a, g, o, end text, end subscript. Assume that all conditions have been met. What is the P-value associated with these sample results?