Final answer:
The null hypothesis H₀: μ = 43 is not rejected because the P-value of 0.129 is greater than the significance level of 0.01, indicating insufficient evidence to reject H₀.
Step-by-step explanation:
A test of H₀: μ = 43 versus Hᵅ: μ ≠ 43 is performed using a significance level of α = 0.01. The P-value is 0.129. When comparing the alpha level to the P-value, because α < P-value, we do not reject the null hypothesis, H₀.
In other words, since the P-value of 0.129 is greater than the significance level of 0.01, there is not enough statistical evidence to reject the null hypothesis that μ is equal to 43.