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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":
$Use the following information for questions: Data were collected by giving a survey to a random sample of students at a university. One question asked was: Do you believe in extraterrestrial life? Here is a comparison of the proportions of males and females that said yes : Subscripts in these questions are 1 = females, 2 = males. -Suppose we wish to know if females at the university are less likely to believe in extraterrestrial life than males. What are the appropriate null and alternative hypotheses? A) H0: \mu 1 - \mu 2 = 0 and Ha: \mu 1 - \mu 2 < 0 B) H0: \mu 1 - \mu 2 < 0 and Ha: \mu 1 - \mu 2 = 0 C) H0: p1 - p2 < 0 and Ha: p1 - p2 = 0 D) H0: p1 - p2 = 0 and Ha: p1 - p2 < 0$
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

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