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A certain university has decided to introduce the use of plus and minus with letter grades,...

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 40% 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 π represents the true proportion of all faculty that favor a change to plus-minus grading, which of the following pair of hypotheses should the administration test:

a) H0: π = 0.4 versus Ha: π > 0.4

b) H0: π = 0.4 versus Ha: π < 0.4    

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