A Study Was Conducted to Determine If Patients Recovering from Knee

A study was conducted to determine if patients recovering from knee surgery should receive physical therapy two or three times per week.Suppose $\text { P3 }$ represents the proportion of patients who showed improvement after one month of therapy three times a week and $\mathrm { P } 2$ represents the proportion of patients who showed improvement after one month of therapy twice a week.A 90% confidence interval for $\text { p3 - p2 }$ is $( 0.15,0.39 )$ Give an interpretation of this confidence interval.

A) We are 90% confident,based on the data,that the proportion of patients who show improvement with therapy three times per week is between 15% and 39% lower than the proportion who show improvement with therapy twice a week.
B) We are 90% confident,based on the data,that the proportion of patients who show improvement with therapy three times per week is between 15% and 39% higher than the proportion who show improvement with therapy twice a week.
C) We know that 90% of all knee-surgery patients will show between 15% and 39% more improvement with therapy three times per week instead of twice a week.
D) We know that 90% of all knee-surgery patients will show between 15% and 39% more improvement with therapy twice a week instead of three times per week.
E) We are 90% confident,based on the data,that patients who receive therapy three times per week show between 15% and 39% more improvement after one month than patients who receive therapy twice a week.

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