Question

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. Level of significance = 5%.

(a) Can it be concluded that the incidence rate of this defect among prisoners differs from the presumed rate for the entire adult male population?

(b) What is the p-value of this test.

Answer 1

a)

No. there is not enough evidence to claim that the population proportion p1 is different than

p2​, at the 0.05 significance level

b)

p=0.6892