A 95% two-sample CI for p₁ − p₂ is (−0.04, 0.16). Test H₀: p₁ = p₂ vs Hₐ: p₁ ≠ p₂ at α = 0.05.
What is the conclusion (approximate)?
- A
Reject H₀ at α = 0.10 only.
- B
Cannot conclude without more data.
- Ccheck_circle
Fail to reject H₀ (since 0 is in the CI).
- D
Reject H₀ (since the CI includes 0).
Explanation
Since 0 lies in the 95% CI, the difference is plausibly zero; fail to reject H₀ at α = 0.05.