Which of the following specify legitimate pairs of null and alternative hypotheses? A)H₀: p = 0.2 H_a: p 0.2 B)H₀: p ≠ 0.35 H_a: p 0.35 C)H₀: p 0.40 D)H₀: p ≠ 0.50 H_a: p = 0.50 E)H₀: p = 0.40 H_a: p 0.65

Question

Which of the following specify legitimate pairs of null and alternative hypotheses? A)H₀: p = 0.2 H_a: p > 0.2 B)H₀: p ≠ 0.35 H_a: p > 0.35 C)H₀: p < 0.40 H_a: p > 0.40 D)H₀: p ≠ 0.50 H_a: p = 0.50 E)H₀: p = 0.40 H_a: p > 0.65

Quizplus · Accepted Answer

The null hypothesis (denoted as H0) is a statement of no effect or no difference and is typically about a population parameter being equal to a certain value. The alternative hypothesis (denoted as Ha or H1) is what one hopes to support, showing there is an effect, a difference, or a relationship. In choice A, the null hypothesis states that p equals 0.2, and the alternative hypothesis states that p is greater than 0.2, which is a legitimate pair of hypotheses where the alternative hypothesis directly challenges the null by suggesting a specific direction of difference.

Which of the Following Specify Legitimate Pairs of Null and Alternative