A certain university has decided to introduce the use of plus and minus with letter grades, as long as there is evidence that more than 60% of the faculty favor the change. A random sample of faculty will be selected, and the resulting data will be used to test the relevant hypotheses. If p represents the proportion of all faculty that favor a change to plus-minus grading, which of the following pairs of hypotheses should the administration test? H0: p = 0.6 versus Ha: p > 0.6H0: p = 0.6 versus Ha: p < 0.6     Explain your choice. The university wishes to to determine if less than 60% favor the change. Therefore, the correct alternative is Ha: p < 0.6.The university wishes to to determine if more than 60% favor the change. Therefore, the correct alternative is Ha: p > 0.6.     The university wishes to to determine if less than 60% favor the change. Therefore, the correct alternative is Ha: p > 0.6.The university wishes to to determine if more than 60% favor the change. Therefore, the correct alternative is Ha: p < 0.6.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A certain university has decided to introduce the use of plus and minus with letter grades, as long as there is evidence that more than 60% of the faculty favor the change. A random sample of faculty will be selected, and the resulting data will be used to test the relevant hypotheses. If p represents the proportion of all faculty that favor a change to plus-minus grading, which of the following pairs of hypotheses should the administration test?

H0: p = 0.6 versus Ha: p > 0.6H0: p = 0.6 versus Ha: p < 0.6    


Explain your choice.

The university wishes to to determine if less than 60% favor the change. Therefore, the correct alternative is Ha: p < 0.6.The university wishes to to determine if more than 60% favor the change. Therefore, the correct alternative is Ha: p > 0.6.     The university wishes to to determine if less than 60% favor the change. Therefore, the correct alternative is Ha: p > 0.6.The university wishes to to determine if more than 60% favor the change. Therefore, the correct alternative is Ha: p < 0.6.
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