Suppose you have data on 440 members of the US House of Representatives. Their "votescore" is a measure of how liberal or conservative their voting record is. The score ranges from -100 (liberal) to +100 (conservative). You are interested in knowing if race affects their vote score.

Suppose you are given the following information:

Sample mean votescore for the 23 latino representatives in the House is -13.8

Sample mean votescore for the 417 non-latino representatives in the House is +7.6

The Standard Error for the difference in the mean votescore for latino and non-latino members is 9.7

Using this information, use statistics to determine whether or not members' votescore differs by race. State your null and alternative hypotheses. Show your work!