The national assessment of educational progress (naep) is administered annually to 4th, 8th, and 12th graders in the united states. on the math assessment, a score above 275 is considered an indication that a student has the skills to balance a checkbook. believing that the true mean score is much higher, a researcher takes a random sample of 500 young men between the ages of 18 and 20 and calculates the mean naep math score of the sample to be 280. the standard deviation of math scores for the sample of young men was 25.what are the appropriate null and alternative hypotheses?