A drug manufacturer claimed that the mean potency of one of its antibiotics was 80%. A random sample of 100 capsules were tested and produced a sample mean of 79.7% wit a standard deviation of 0.8%. Do the data present sufficient evidence to refute the manufacturer's claim. Use a 5 percent significance level. State the null and alternative hypotheses to be tested. Conduct a statistical test of the null hypothesis and state your conclusion.