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TABLE 12-1 A Corporation Randomly Selects 150 Salespeople and Finds That 66

Question 32

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TABLE 12-1
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 TABLE 12-1 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 and 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 12-1,if the firm wanted to test whether this proportion has changed from the previous study,which represents the relevant hypotheses? A) H<sub>0</sub> : π<sub>1</sub> - π<sub>2 </sub>= 0 versus H<sub>1 </sub>: π<sub>1 </sub>- π<sub>2</sub> ≠ 0 B) H<sub>0 </sub>: π<sub>1</sub> - π<sub>2</sub> ≠ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2 </sub>= 0 C) H<sub>0 </sub>: π<sub>1</sub> - π<sub>2</sub> ≤ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2</sub> > 0 D) H<sub>0 </sub>: π<sub>1 </sub>- π<sub>2</sub> ≥ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2 </sub>< 0 and TABLE 12-1 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 and 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 12-1,if the firm wanted to test whether this proportion has changed from the previous study,which represents the relevant hypotheses? A) H<sub>0</sub> : π<sub>1</sub> - π<sub>2 </sub>= 0 versus H<sub>1 </sub>: π<sub>1 </sub>- π<sub>2</sub> ≠ 0 B) H<sub>0 </sub>: π<sub>1</sub> - π<sub>2</sub> ≠ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2 </sub>= 0 C) H<sub>0 </sub>: π<sub>1</sub> - π<sub>2</sub> ≤ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2</sub> > 0 D) H<sub>0 </sub>: π<sub>1 </sub>- π<sub>2</sub> ≥ 0 versus H<sub>1 </sub>: π<sub>1</sub> - π<sub>2 </sub>< 0 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 12-1,if the firm wanted to test whether this proportion has changed from the previous study,which represents the relevant hypotheses?


A) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0
B) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0
C) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0
D) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0

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