Use the following information for questions:
An airport official wants to prove that the p₁ = proportion of delayed flights after a storm for Airline A is less than p₂ = the proportion of delayed flights for Airline B. Random samples from two airlines after a storm showed that 51 out of 200 of Airline A's flights were delayed, and 60 out of 200 of Airline B'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 A is less than p 2 = the proportion of delayed flights for Airline B. Random samples from two airlines after a storm showed that 51 out of 200 of Airline A's flights were delayed, and 60 out of 200 of Airline B'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) always states that there is no effect or no difference, so it posits that the difference in proportions is 0. The alternative hypothesis (Ha) reflects the research hypothesis, which in this case is that Airline A has a lower proportion of delayed flights than Airline B, hence the difference in proportions (pA - pB) is less than 0.

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

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