The National Academy of Science reported that 41% 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 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.< B.≠ C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed. B. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed. C. 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. D.We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed
The National Academy of Science reported that 41% 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 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance.
Step 1 of 3: State the null and alternative hypotheses for the test.
circle the answer below.
H0 p=0.41
ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41
A.<
B.≠
C.>
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places
Step 3 of 3: Draw a conclusion and interpret the decision.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed.
B. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed.
C. 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.
D.We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05level of significance that the percentage of research in mathematics published by US authors has changed
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