The benign mucosal cyst is the most common lesion of a pair of sinuses in the upper jawbone. In a random sample of 800 males, 35 persons were observed to have a benign mucosal cyst.

a) Would it be appropriate to use a normal approximation in conducting a statistical test of the null hypothesis H0: p ≥ 0.096 (the highest incidence in previous studies among males)? Explain.

b) Conduct a statistical test of the research hypothesis Ha: p < 0.096 by computing the p-value manually and drawing a conclusion using the p-value approach at a 1% Type I error rate.

c) What is the rejection region for this test?

d) Use Minitab to verify your results.