The National Academy of Science reported that 34 % of research in mathematics is published by US authors. The mathematics chairperson of a

Question

prestigious university wishes to test the claim that this percentage is no longer 34 % . He has no indication of whether the percentage has increased
or decreased since that time. He surveys a simple random sample of 126 recent articles published by reputable mathematics research journals and
finds that 55 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer
34 % ? Use a 0.05 level of significance.
Step 3 of 3: Draw a conclusion and interpret the decision.

Answer 2 Points

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We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the percentage of research in
mathematics published by US authors has changed.

We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the percentage of research in
mathematics published by US authors has changed.

We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the percentage of research in
mathematics published by US authors has changed.

We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the percentage of research in
mathematics published by US authors has changed.

Answer 1

We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the percentage of research in mathematics published by US authors has changed. This is based on the sample data collected, which shows a different percentage of articles with US authors than the reported 34%.