A certain university has decided to introduce the use of plu

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

Explain your choice.

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

Solution

H₀: p = 0.6 versus H_a: p > 0.6

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