Two competing glue brands both claim to produce the best glue. A teacher randomly samples 48 students that use Brand A (Group 1) and finds 30 of them are satisfied with the projects results of the glue. She then randomly samples 45 students that use Brand B (Group 2) and finds 33 of them are satisfied with the results of the glue. Construct a 99% confidence interval for the difference in proportions and use it to decide if there is a significant difference in the satisfaction level of students. - round to 3 decimal places.

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