Use the Following Information for Questions:
Data Were Collected by Giving

Use the following information for questions:
Data were collected by giving a survey to a random sample of students at a university. One question asked was: "Do you believe in extraterrestrial life?"Here is a comparison of the proportions of males and females that said "yes":

Subscripts in these questions are 1 = females, 2 = males.
-Suppose we wish to know if females at the university are less likely to believe in extraterrestrial life than males. What are the appropriate null and alternative hypotheses?

A) H₀: $\mu$ ₁ - $\mu$ ₂ = 0 and H_a: $\mu$ ₁ - $\mu$ ₂ < 0
B) H₀: $\mu$ ₁ - $\mu$ ₂ < 0 and H_a: $\mu$ ₁ - $\mu$ ₂ = 0
C) H₀: p₁ - p₂ < 0 and H_a: p₁ - p₂ = 0
D) H₀: p₁ - p₂ = 0 and H_a: p₁ - p₂ < 0