The incidence of a certain type of chromosome defect in the U.S. adult male population is believed to be 1 in 75. A random sample of 800 individuals in U.S. penal institutions reveals 16 who have such defects. Can it be concluded that the incidence rate of this defect among prisoners differs from the presumed rate for the entire adult male population?
a. State and test the relevant hypotheses using α = .05. What type of error might you have made in reaching a conclusion?
b. Based on the P-value calculated in (a), could H0 be rejected at significance level .20?