The statement that best describes the influence of new forms of Buddhism in medieval Japan is: "New forms of Buddhism appealed to multiple social classes, with peasants and lower-ranking people turning to Pure Land Buddhism and warriors drawn to Zen Buddhism."
This reflects how different forms of Buddhism addressed the spiritual needs of various social classes during that time period, with Pure Land Buddhism being more accessible to the common people and Zen Buddhism attracting the warrior class for its emphasis on discipline and self-reliance.