Use the following information for questions:
An airport official wants to prove that the p₁ = proportion of delayed flights after a storm for Airline 1 was different from p₂ = the proportion of delayed flights for Airline 2. Random samples from the two airlines after a storm showed that 50 out of 100 of Airline 1's flights were delayed, and 70 out of 200 of Airline 2's flights were delayed.
-What are the appropriate null and alternative hypotheses?

Question

Use the following information for questions: An airport official wants to prove that the p 1 = proportion of delayed flights after a storm for Airline 1 was different from p 2 = the proportion of delayed flights for Airline 2. Random samples from the two airlines after a storm showed that 50 out of 100 of Airline 1's flights were delayed, and 70 out of 200 of Airline 2's flights were delayed. -What are the appropriate null and alternative hypotheses? A) H₀: p₁ - p₂ = 0 and H_a: p₁ - p₂ $\neq$ 0 B) H₀: p₁ - p₂$\neq$ 0 and H_a: p₁ - p₂ = 0 C) H₀: p₁ - p₂ = 0 and H_a: p₁ - p₂ < 0 D) H₀: p₁ - p₂ = 0 and H_a: p₁ - p₂ > 0

Quizplus · Accepted Answer

The null hypothesis (H0) typically states that there is no difference or effect, so H0: p1 - p2 = 0 is correct. The alternative hypothesis (Ha) is looking for any difference, hence Ha: p1 - p2 ≠ 0 is appropriate when the claim is that the proportions are different without specifying direction.

Use the Following Information for Questions: an Airport Official ≠\neq=

Use the Following Information for Questions:
an Airport Official $\neq$