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 π₁ and π₂ 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?

Question

Quizplus · Accepted Answer

The hypothesis test should be set up to determine if there is a difference in proportions between the two studies. Therefore, the null hypothesis (H0) is that the difference in proportions is zero (π1 - π2 = 0), and the alternative hypothesis (H1) is that the difference is not zero (π1 - π2 ≠ 0).

TABLE 12-5 A Corporation Randomly Selects 150 Salespeople and Finds That 66