A z-test of H₀: p = 0.5 vs Hₐ: p > 0.5 produces p-value = 0.012. Significance level α = 0.05.
What is the correct decision and conclusion?
- A
Accept H₀; the proportion equals 0.5.
- Bcheck_circle
Reject H₀; there is convincing evidence p > 0.5.
- C
Reject Hₐ; the data support H₀.
- D
Fail to reject H₀; not enough evidence.
Explanation
Since p-value (0.012) < α (0.05), reject H₀. There is convincing evidence that p > 0.5.