Final answer:
The confrontation between Andrew Carnegie and the Amalgamated Association was at the Homestead Steel Mill, leading to the Homestead Strike of 1892, where workers faced substantial wage cuts and ultimately the union was broken after a protracted and violent conflict.
Step-by-step explanation:
The clash between Andrew Carnegie and the Amalgamated Association of Iron and Steel Workers occurred at the Homestead Steel Mill in Pennsylvania in 1892. This standoff, known as the Homestead Strike, was a result of wage cuts for the steel mill workers. It escalated when Carnegie's manager, Henry Frick, fortified the plant against the striking workers, and hired Pinkerton detectives to enable the employment of strikebreakers. A deadly confrontation ensued, leading to the eventual defeat of the union after enduring a lockout that lasted until November 1892. Post strike, the workers capitulated to the company's demands, accepting reduced wages, longer hours, and the decimation of their union.