Please show the work on how you solved these problems. Thank you.

At NC A&T, the ACT scores of entering students have had a mean of 20 (for the critical reading and mathematics portions). Each year a sample of applications is taken to see whether the examination scores are at the same level as in previous years. A sample of 80 students in this year's class had a sample mean score of 22 and a standard deviation of 3.

Test the hypothesis that this year's class is greater than the classes before with a significance level of 0.01.

Find the correct hypotheses for this problem.

H = 20; HA < 20

H = 20; HA = 20

H = 20; HA > 20

H > 20; HA = 20

At NC A&T, the ACT scores of entering students have had a mean of 20 (for the critical reading and mathematics portions). Each year a sample of applications is taken to see whether the examination scores are at the same level as in previous years. A sample of 80 students in this year's class had a sample mean score of 21 and a standard deviation of 3.

Test the hypothesis that this year's class is greater than the classes before with a significance level of 0.01.

Find the correct p-value for the problem

0.0014 0.0089 0.0038 0.9997