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. If the firm wanted to test whether a greater proportion of workers would currently like to attend a​ self-improvement course than in the​ past, 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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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. If the firm wanted to test whether a greater proportion of workers would currently like to attend a​ self-improvement course than in the​ past, 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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