A large company offered gym memberships to its employees as part of a program to keep employees healthy. A random sample of employees with a gym membership and a random sample of employees without a gym membership were taken, and the proportion of employees who had taken at least one sick day in the past month was recorded for each sample. A 90 percent confidence interval for the difference in population proportions (membership minus no membership) was found to be (−0.13,0.05)(−0.13,0.05). Employees believe that there is no difference in absenteeism between those with a gym membership and those without a gym membership. Does the confidence interval provide evidence that this belief is plausible? No. It is likely that employees with a gym membership are absent less often than employees without a gym membership, because −0.13<0.05−0.13<0.05. A No. It is likely that employees with a gym membership are absent more often than employees without a gym membership, because the absolute value of −0.13−0.13 is greater then 0.05. B No. The range of negative values is greater than the range of positive values in the interval, which indicates that employees with a gym membership tend to be absent less often than employees without a gym membership. C Yes. The length of the interval is 0.18, which indicates a low probability of a difference. D Yes. The value of 0 is contained in the interval, which indicates that no difference is plausible E
A large company offered gym memberships to its employees as part of a program to keep employees healthy. A random sample of employees with a gym membership and a random sample of employees without a gym membership were taken, and the proportion of employees who had taken at least one sick day in the past month was recorded for each sample. A 90 percent confidence interval for the difference in population proportions (membership minus no membership) was found to be (−0.13,0.05)(−0.13,0.05).
Employees believe that there is no difference in absenteeism between those with a gym membership and those without a gym membership. Does the confidence interval provide evidence that this belief is plausible?
-
No. It is likely that employees with a gym membership are absent less often than employees without a gym membership, because −0.13<0.05−0.13<0.05.
A -
No. It is likely that employees with a gym membership are absent more often than employees without a gym membership, because the absolute value of −0.13−0.13 is greater then 0.05.
B -
No. The
range of negative values is greater than the range of positive values in the interval, which indicates that employees with a gym membership tend to be absent less often than employees without a gym membership.C -
Yes. The length of the interval is 0.18, which indicates a low probability of a difference.
D -
Yes. The value of 0 is contained in the interval, which indicates that no difference is plausible
E
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
