EMERGING MARKETS-Latam markets drop on China worries

SAO PAULO, Sept 1 (Reuters) - Latin American currencies and stocks mostly fell on Tuesday as investors fretted over weak domestic growth and disappointing economic data in China, a leading trade partner for the region. The broader MSCI Latin American stock index fell the most in a week, while the Brazilian real was on track to close at its weakest level since early 2003. Data released on Tuesday showed that China's manufacturing sector shrank at its fastest pace in three years. China