A random sample of 384 people in a mid-sized city (city one) revealed 112 individuals who worked at more than one job. A second random sample of 432 workers from another mid-sized city (city two) found 91 people who work at more than one job. Find a 99% confidence interval for the difference between the proportions of workers in the two cities who work at more than one job.

Question

(0.003, 0.159)

(0.021, 0.141)

(-0.159, 0.004)

(0.031, 0.131)

Sample sizes aren't large enough to justify using z-procedures