The National Academy of Science reported that 38% 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 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 38%? Use a 0.02 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 3. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 4. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

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Description: The National Academy of Science reported that 38% 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 38%. He has no indication of w

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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The National Academy of Science reported that 38% 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 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 38%? Use a 0.02 level of significance.

Step 3 of 3 : Draw a conclusion and interpret the decision.

1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

3. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

4. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

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