The National Academy of Science reported that 36 % of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 36 % . He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 224 recent articles published by reputable mathematics research journals and finds that 96 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 36 % ? Use a 0.02 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places