A human resources director decided to investigate employee perception of the fairness of two performances evaluation methods. To test for the differences between the two methods, 160 employees were randomly assigned to be evaluated by one of the methods: 78 were assigned to method 1, where individuals provide feedback to supervisory queries as part of the evaluation process; 82 were assigned to method 2, where individuals provide self-assessments of their work performance. Following the evaluations, employees were asked whether they considered the performance evaluation fair or unfair. Of the 78 employees in method I, there were 63 fair ratings. Of the 82 employees in method 2, there were 49 fair ratings.
Using a 0.05 level of significance, is there evidence of a significant difference between the two methods in the proportion of fair ratings?