Final answer:
Option (c), The Red Scare of the 1920s, marked by a fear of radical political ideologies, directly led to the demand for limits on immigration, demonstrating a clear cause-and-effect relationship.
Step-by-step explanation:
The pair of events that illustrate an accurate cause-and-effect relationship is c. Red Scare -> Demand for limits on immigration. During the 1920s, the United States experienced a period known as the Red Scare, which was marked by a widespread fear of communism and radical political beliefs. The Red Scare was fueled by events such as the Soviet Revolution and was further propagated by events like the trial of Nicola Sacco and Bartolomeo Vanzetti, which revealed a fear of radicalism.
This fear generated a demand for stricter immigration policies to prevent the perceived spread of communism and to protect against the infiltration of foreign radical ideologies. This historical context shows a clear cause (the Red Scare) leading to a specific effect (demands for immigration limits).