Final answer:
To determine if girls in public schools receive bicycles promised by the state government program, document analysis is the most appropriate method.
Step-by-step explanation:
The method that would be most appropriate to determine if girls in public schools receive bicycles as promised by the new state government program is document analysis. Document analysis involves examining official documents, such as policies or records, to gather information and make conclusions. In this case, analyzing the documents related to the state government program would provide evidence of whether or not the promised bicycles are being given to girls in public schools.