The proportion of commuters on is purported to be 65%. A professor believes this to be inaccurate.  He randomly selects 300 students on campus and determines 200 of them to be commuters.  Can the professor reject the campus claim of 65%? Write the hypotheses for this scenario.   Is this one tailed or two tailed?    Why?    What statistical test would be used for this scenario?    Explain why.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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  1. The proportion of commuters on is purported to be 65%. A professor believes this to be inaccurate.  He randomly selects 300 students on campus and determines 200 of them to be commuters.  Can the professor reject the campus claim of 65%?
    1. Write the hypotheses for this scenario.

 

Is this one tailed or two tailed? 

 

Why? 

 

What statistical test would be used for this scenario? 

 

Explain why. 

Expert Solution
Step 1

1

Statistics homework question answer, step 1, image 1

Step 2

Determine the whether the test is one or two tailed.

From the information, given that the proportion of commuters on campus is purported equals 0.65 and the claim is whether the professor can reject the campus claim of 0.65 or not.

It is clear that the direction of the tail in the given problem not indicated with the single tail and it is necessary to find out whether the professor can reject the campus claim of 0.65 or not which clearly depicts that the given test is only two tailed.

Therefore, the test is of clearly two tailed.

Step 3

Statistics homework question answer, step 3, image 1

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