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For geriatric patients requiring hospitalization, being able to walk without assistance (knownas ambulation) is important for recovery. A team of medical researchers have developed anew

For geriatric patients requiring hospitalization, being able to walk without assistance (knownas ambulation) is important for recovery. A team of medical researchers have developed anew ambulation program intended to increase the chances that geriatric patients achieveambulation before being discharged from the hospital. The researchers conduct an initial test of the program at two hospitals. At each location, some patients are randomly selected toparticipate in the program, while the remaining patients do not participate in the program.They are hoping for a successful test, so that they can apply for further research funding toadminister the program at more hospitals. The researchers obtain the following data about the initial test of their program: Participate in program?

Participate in program?

Achieve ambulation before discharge? NO YES
No (# of patients) 5,950 9,005
Yes (# of patients) 5,050 1,095
Total (# of patients) 11,000 10,100

The researchers are extremely discouraged, as these initial results suggest the programdoesn't work. If anything, it appears the program is actually making it less likely that apatient achieves ambulation before discharge.

To better understand the results, the researchers take a closer look at the data and observe thefollowing:

Hospital A

Participate in program?

Hospital B

Participate in program?

Achieve ambulation before discharge? NO YES NO YES
No (# of patients) 950 9,000 5,000 5
Yes (# of patients) 50 1,000 5,000 95
Total (# of patients) 1,000 10,000 10,000 100

The researchers are puzzled - now it appears the program does improve the chances of achievingambulation before discharge. Required: Why are the researchers coming to different interpretations based on how theyanalyze the data?

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