Chapter 8, Problem 24SE

Age Discrimination About $30\%$ of the population in Silicon Valley, a region in California, are between the ages of 40 and 65, according to the U.S. Census. However, only $2\%$ of the 2100 employees at a laid-off man’s former Silicon Valley company are between the ages of 40 and 65. Lawyers might argue that if the company hired people regardless of their age, the distribution of ages would be the same as though they had hired people at random from the surrounding population. Check whether the conditions for using the one-proportion $z\text{-test}$ are met.