. Children's recall and recognition of television advertisements was studied in the J our nal of Advertising (Spring 2006). Two groups of children were shown a (SOsecond commercial for Sunkist FunEruit RocknRoll Shapes. One group (the A/V group) was shown the ad with both audio and video; the second group (the videoonly group) was shown only the video portion of the commercial. Following the viewing, the chil dren were asked to recall 10 specic items from the ad. The number of items recalled correctly by each child is summarized in the accompanying table. The researchers theorized that \"children who receive an audiovisual presentation will have the same level of mean recall of ad information as those who receive only the visual aspects of the ad.\" Video-Only Group A / V Group 711 = 20 50.2 = 20 531 = 3.70 :52 = 3.30 81 = 1.98 82 = 2.13 (a) Set up the appropriate null and alternative hypotheses to test the researchers' theory. (b) Find the value of the test statistic. (c) Give the rejection region for a = 0.10. (d) Make the appropriate inference. What can you say about the researchers' theory? (e) The researchers reported the pvalue of the test as pvalue = .62. Interpret this result. (f) What conditions are required for the inference to be valid