In the past, 60% of all undergraduate students enrolled at a State University in NY earned their degrees within four years of matriculation. Administrators want to test the claim made by some faculty memebers that this proportion has fallen below the historical value of 60%. A random sample of 95 students from the class that matriculated in the fall of 2012 was recently selected to test this hypothesis. Administrators found that 44 of these 95 students graduated in the spring of 2016 (i.e., four academic years after matriculation). Use a significance level of 5%. a) Formulate the hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test?

In the past, 60% of all undergraduate students enrolled at a State University in NY earned their degrees within four years of matriculation. Administrators want to test the claim made by some faculty memebers that this proportion has fallen below the historical value of 60%. A random sample of 95 students from the class that matriculated in the fall of 2012 was recently selected to test this hypothesis. Administrators found that 44 of these 95 students graduated in the spring of 2016 (i.e., four academic years after matriculation). Use a significance level of 5%. a) Formulate the hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The National Academy of Science reported that 33% 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 33%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 280 recent articles published by reputable mathematics research journals and finds that 108 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 33%? Use a 0.01 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p = 0.33 Ha: p___ 0.33
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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…
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