This problem has been solved! see the answer9. a one-tailed hypothesis test with the t statisticaa aaeantisocial personality disorder (aspd) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminishedcapacity for remorse, superficial charm, thrill seeking, and poor behavioral control. aspd is not normally diagnosed in children oradolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. james blair and his colleagueshave studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. they have found that children with antisocial tendencies have selective impairments, with significantly moredifficulty recognizing fearful and sad expressions. suppose you have a sample of 20 12-year-old children with antisocial tendencies and you are particularly interested in the emotion ofsurprise. the average 12-year-old has a score on the emotion recognition scale of 12.95. (the higher the score on this scale, the morestrongly an emotion has to be displayed to be correctly identified. therefore, higher scores indicate greater difficulty recognizing theemotion). 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 willhave higher scores on the emotion recognition test).what is your null hypothesis stated using symbols? what is your alternative hypothesis stated using symbols? using the distributions tool, locate the critical region for a = .05.in order to use the t distribution, you will first need to determine the degrees of freedom (df) for a = .05. the degrees of freedom (df). the critical value of t isyour sample of 12-year-old children with antisocial tendencies has an average score of 14.50 with a standard deviation of 2.95.calculate the t statistic. to do this, you will first have to calculate the estimated standard error. the estimated standard error isthe t statistic is(hint: for the most precise results, retain four significant figures from your calculation of thestandard error to calculate the t statistic.)the t statisticlie in the critical region. therefore, youreject the null hypothesis. based on the results of this test, thereenough evidence to conclude that children with antisocial tendencies have greaterdifficulty recognizing surprise than do children without antisocial tendencies.