A drug manufacturer claimed that the mean potency of one of its antibiotics was 80%. A random sample of n = 100 capsules were tested and produced a sample mean of  = 79.7% with a standard deviation of s = .8%. Do the data present sufficient evidence to refute the manufacturer's claim? Let α = .05.
a. State the null hypothesis to be tested.
b. State the alternative hypothesis.
c. Conduct a statistical test of the null hypothesis and state your conclusion.