Did I Get This?

Below you'll find three sample outputs of the two-sided two-sample t-test:

H_0: μ_1 - μ_2 = 0 vs. H_a: μ_1 - μ_2 ≠ 0

However, only one of the outputs could be correct (the other two contain an inconsistency). Your task is to decide which of the following outputs is the correct one (Hint: No calculations are necessary in order to answer this question. Instead pay attention to the p-value and confidence interval).

  • Output A:
    • p-value: 0.289
    • 95% Confidence Interval: (-5.93090, -1.78572)
  • Output B:
    • p-value: 0.003
    • 95% Confidence Interval: (-13.97384, 2.89733)
  • Output C:
    • p-value: 0.223
    • 95% Confidence Interval: (-9.31432, 2.20505)

Which of the following is the correct output?

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