High School

If we want to find whether the first-year class at our college has higher scores on the SAT writing test than the national average for the test, our directional alternative hypothesis (Ha) might state:

A) There will be no difference in SAT writing scores between our first-year class and the national average.
B) There will be a difference in SAT writing scores between our first-year class and the national average.
C) The SAT writing scores for our first-year class will equal the national average for the test.
D) Our first-year class will score higher than the national average for the SAT writing test.

Answer :

The directional alternative hypothesis in this context would state that the first year class will score higher than the national average for the SAT writing test, indicating an expectation of an increase rather than simply a difference. So, the correct option is D.

If we want to determine if the first year class at our college has higher SAT writing test scores than the national average, the directional alternative hypothesis (Ha) would be stated as: 'Our first year class will score higher than the national average for the SAT writing test.' This hypothesis suggests that we expect the first year class SAT writing scores to be greater than the national average, and we would test for an increase rather than just any difference.

Therefore, the correct option is D) our first year class will score higher than the national average for the SAT writing test