The National Academy of Science reported that 41%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%41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 276276 recent articles published by reputable mathematics research journals and finds that 129129 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%41%? Use a 0.010.01 level of significance.   Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p=0.41: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The National Academy of Science reported that 41%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%41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 276276 recent articles published by reputable mathematics research journals and finds that 129129 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%41%? Use a 0.010.01 level of significance.
 
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: p=0.41: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41
Expert Solution
Step 1: Information given is

sample size(n)=276

x=129

significance level(straight alpha)=0.01

sample proportion(straight p with hat on top)=straight x over straight n equals 129 over 276 equals 0.4673913043


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