At α = .05, the critical value to test the hypotheses H₀: π ≥ .40, H₁: π

Question

At α = .05, the critical value to test the hypotheses H₀: π ≥ .40, H₁: π < .40 would be: A)-1.645 B)-1.960 C)-2.326 D)impossible to determine without more information.

Quizplus · Accepted Answer

For a one-tailed test at α = .05, the critical value for testing a hypothesis about a population proportion (π) when the alternative hypothesis (H₁) is π < .40 (indicating a left-tailed test) is -1.645. This value corresponds to the z-score that cuts off the lower 5% of the standard normal distribution.

At α = 05, the Critical Value to Test the Hypotheses H0: π

At α = 05, the Critical Value to Test the Hypotheses H₀: π