Suppose you have a sample of 20 12-year-old children with antisocial tendencies and you are particularly interested in the emotion of surprise. The average 12-year-old has a score on the emotion recognition scale of 12.95. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed. You believe that children with antisocial tendencies will have a harder time recognizing the emotion of surprise (in other words, they will have higher scores on the emotion recognition test).
a. What is your null hypothesis stated using symbols?
b. What is your alternative hypothesis stated using symbols?