The National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics

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The National Academy of Science reported that 38% of research inmathematics is published by US authors. The mathematics chairpersonof a prestigious university wishes to test the claim that thispercentage is no longer 38%. He has no indication of whether thepercentage has increased or decreased since that time. He surveys asimple random sample of 279 recent articles published by reputablemathematics research journals and finds that 123 of these articleshave US authors. Does this evidence support the mathematicschairperson’s claim that the percentage is no longer 38%? Use a0.02 level of significance.
Step 1 of 3: State the null and alternative hypotheses for thetest. Fill in the blank below.
Step 2 of 3: Compute the value of the test statistic. Roundyour answer to two decimal places.
Step 3 of 3: Draw a conclusion and interpret thedecision.