1.The National Academy of Science reported that 45% 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 45%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 166 recent articles published by reputable mathematics research journals and finds that 89 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 45%? Use a 0.05 level of significance. State the null and alternative hypotheses for the test, also find the test statistic and round two decimals place.Draw a conclusion and interpret the decision.       H0: p=0.45: Ha: p_0.45    A.≠  B.>  C<

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