Question: You are a police chief and you believe that African Americans and Hispanics will report greater mistrust of criminal justice actors than Caucasians. To test this idea, you distribute a survey to 250 citizens in your city with 15 questions on mistrust of all criminal justice actors (police, courts, prison officials, etc). Higher scores on the survey represent higher levels of mistrust. You find that the average level of mistrust for each race is as follows:

Caucasians: 12.3
African American: 13
Hispanic: 13.5

This produces a test statistic of 2.37. Using a .05 level of significance, will you conclude that there is a significant difference in the average levels of mistrust across races?