A professor has been teaching an undergraduate course for the last 15 years a 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 fo 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 bac 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

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2RP: A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and...
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May you please guide me with the steps and methods for completing this hypothesis question as I keep getting my calculations confused and I don't know if I am following the steps correctly. I would appreciate it greatly, thank you. 

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
2
professor conclude that there is a difference in pass and failure rates depending on whether the
prerequisite was done or not? Use the alpha of 0.05 and carry out all the steps of hypothesis
testing to answer the hypothesis.
Table 4. Course completion based on prerequisite
PREREQUISITE
OUTCOME
Completed prior
Simultaneously
Pass
1,105
60
Fail
120
515
Transcribed Image Text: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 2 professor conclude that there is a difference in pass and failure rates depending on whether the prerequisite was done or not? Use the alpha of 0.05 and carry out all the steps of hypothesis testing to answer the hypothesis. Table 4. Course completion based on prerequisite PREREQUISITE OUTCOME Completed prior Simultaneously Pass 1,105 60 Fail 120 515
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