A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Use the appropriate test at α = 0.05 level of significance to answer the following question: Is the success rate of “Instructor II” greater than success rate of “Instructor I”?       Yes, because the p-value is 0.047     No, because the p-value is 0.047     No, because the p-value is 0.102

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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QUESTION 13

  1. A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Use the appropriate test at α = 0.05 level of significance to answer the following question: Is the success rate of “Instructor II” greater than success rate of “Instructor I”?

     

       

    Yes, because the p-value is 0.047

       

    No, because the p-value is 0.047

       

    No, because the p-value is 0.102

       

    Yes, because the p-value is 0.102

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