Test at alpha 05 and 010 the hypothesis that a majority

Question

1. Test H₀: m £ 8 versus H_A: m > 8, at a = 0.05 and 0.01, given n = 25, = 8.07 and s = 0.16. Assume the sample is selected from a normally distributed population.

2. Test H₀: π = 0.2 versus H₁: π ¹ 0.2 with p = 0.28 and n = 100 at alpha = 0.05.

3. Test at α =.05 and 0.10 the hypothesis that a majority (more than 50%) of students favor the plus/minus grading system at a university if in a random sample of 500 students, 265 favor the system?