Revelations that a New Zealand lawmaker had been a member of the Communist Party in China and taught English to spies there have raised alarms about Beijing’s influence in New Zealand — and how well the political parties there vet their candidates. Jian Yang, a lawmaker with the center-right National Party, did not declare his past Communist Party affiliation or his work teaching spies in China on his New Zealand citizenship application. He was returned to Parliament for a third term in the country’s Sept. 23 elections.