The hypotheses H0: π ≥ .40,H1: π

Question

The hypotheses H0: π ≥ .40,H1: π < .40 would require
A)a left-tailed test.
B)a right-tailed test.
C)a two-tailed test.

Quizplus · Accepted Answer

The null hypothesis states that the population proportion is greater than or equal to 0.40 (π ≥ 0.40), while the alternative hypothesis states that the population proportion is less than 0.40 (π < 0.40). This indicates a one-tailed or directional hypothesis, where we are interested in testing if the proportion is significantly smaller than a specified value. Since H1 represents a smaller proportion value, we need to conduct a left-tailed test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. Therefore, the best choice is A, a left-tailed test.

The Hypotheses H0: π ≥