A professor has been teaching an undergraduate course for the last 15 years and has noticed that in the fall term there are more failures than in the same course offered in the winter term. The professor is wondering if this may be due to students being less prepared for the subject matter in the fall than in the winter because more students are taking the prerequisite simultaneously. Before drawing any conclusions though, the professor goes back over all the grades in all classes she taught in the last 15 years and counts the number of students that passed or failed. She then also records who had and had not completed the prerequisite first (see Table 4 for the data). On the basis of the last 15 years of data, should the professor conclude that there is a difference in pass and failure rates depending on whether the 3 prerequisites was done or not? Use the alpha of 0.05 and carry out all the steps of hypothesis testing to answer the hypothesis.   Completed prior  Simultaneously  Pass 1,105 60 Fail  120 515

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A professor has been teaching an undergraduate course for the last 15 years and has noticed that in the fall term there are more failures than in the same course offered in the winter term. The professor is wondering if this may be due to students being less prepared for the subject matter in the fall than in the winter because more students are taking the prerequisite simultaneously. Before drawing any conclusions though, the professor goes back over all the grades in all classes she taught in the last 15 years and counts the number of students that passed or failed. She then also records who had and had not completed the prerequisite first (see Table 4 for the data). On the basis of the last 15 years of data, should the professor conclude that there is a difference in pass and failure rates depending on whether the 3 prerequisites was done or not? Use the alpha of 0.05 and carry out all the steps of hypothesis testing to answer the hypothesis.

  Completed prior  Simultaneously 
Pass 1,105 60
Fail  120 515
     
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