12.25 Each person in a large sample of German adolescents was asked to indicate which of 50 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table (from “Longitudinal Study of Exposure to Entertainment Media and Alcohol Use among German Adolescents,” Pediatrics [2009]: 989–995).
Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using a 5 .05.
Alcohol Exposure Group 1 2 3 4 School Performance Excellent 110 93 49 65 Good 328 325 316 295 Average/
Poor 239 259 312 317