People from NC were given a happiness assessment with ratings from 0-10 with 10 being extremely happy. The overall mean for people from NC was 7 with a standard deviation of 1.5. You want to test the hypothesis that people from Arkansas are not as happy as people from NC. You choose a score at random from a sample from Arkansas, which is 5. Test this hypothesis using the steps of hypothesis testing and the .05 significance level. a. Provide the null and alternative hypotheses using statistical notation.