In Problem 21 in Chapter 11, we described a study showing that students are likely to improve their test scores if they go back and change answers after reconsidering some of the questions on the exam (Johnston, 1975). In the study, one group of students was encouraged to reconsider each question and to change answers whenever they felt it was appropriate. The students were asked to record their original answers as well as the changes. For each student, the exam was graded based on the original answers and on the changed answers. For a group of n = 40 students, suppose that 29 had higher scores for the changed-answer version and only 11 had higher scores for the original-answer version. Is this result significantly different from chance? Use a two-tailed test with α = .01.