The unemployment rate of persons with a disability is typically higher than for those with no disability. Recent statistics report that this rate is 14.5%. An advocacy group in
A large city located in the southeastern region of the U.S. selected a random sample of
250 persons with a disability. What is the probability that at least 20 persons in this
Sample are unemployed?
A) 0.8686
B) 0.9982
C) 0.6573
D) 0.1314
E) 0.0018

Question

Quizplus · Accepted Answer

The probability of at least 20 persons being unemployed can be found using the binomial distribution or normal approximation. Given the high sample size, a normal approximation is suitable. The probability of at least 20 out of 250 being unemployed, given a 14.5% unemployment rate, is very high, making option B (0.9982) the most plausible choice without performing detailed calculations.

The Unemployment Rate of Persons with a Disability Is Typically