Conclusion of a Two Sample T-Test
A study was conducted to compare recovery times, in days, for patients receiving two different treatments for the same condition. The summary statistics for Treatment X were n₁ = 28, x̄₁ = 14.2, s₁ = 3.8, and for Treatment Y were n₂ = 31, x̄₂ = 16.5, s₂ = 4.2. A two-sample t-test comparing the means resulted in a test statistic of t = -2.28 and a p-value of 0.026. Which of the following is the most appropriate conclusion?
A
97.4% of patients recover faster with Treatment X.
B
There’s a 2.6% chance that the treatments are equally effective.
C
Treatment X is 2.3 days faster for all patients.
D
There is evidence that mean recovery times differ between treatments.
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