TABLE 12-5
a Corporation Randomly Selects 150 Salespeople and Finds $H_{0}: \pi_{1}-\pi_{2}=0$

Multiple Choice

TABLE 12-5
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let u₁ and u₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
-Referring to Table 12-5, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses?

A) $H_{0}: \pi_{1}-\pi_{2}=0$ versus $H_{1}: \pi_{1}-\pi_{2} \neq 0$
B) $H_{0}: \pi_{1}-\pi_{2} \leq 0$ versus $H_{1}: \pi_{1}-\pi_{2}>0$
C) $H_{0}: \pi_{1}-\pi_{2} \geq 0$ versus $H_{1}: \pi_{1}-\pi_{2}<0$
D) $H_{0}: \pi_{1}-\pi_{2} \neq 0$ versus $H_{1}: \pi_{1}-\pi_{2}=0$