THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A real estate broker is interested in identifying the factors that determine the price of a house.She wants to run the following regression: Y = β₀ + β₁X₁ + β₂X₂ + β₃X₃ + ε where Y = price of the house in $1,000s,X₁ = number of bedrooms,X₂ = square footage of living space,and X₃ = number of miles from the beach.Taking a sample of 30 houses,the broker runs a multiple regression and gets the following results:
= 123.2 + 4.59x₁ + 0.125x₂ - 6.04x₃,
= 103.2,
= 2.13,
= 0.062,
= 4.17,R² = 0.47,and
= 0.45 (adjusted) .
-What should the null and alternative hypotheses be for β₃?

A) H₀ : β₃ = 0,H₁ : β₃ > 0
B) H₀ : β₃ = 0,H₁ : β₃ < 0
C) H₀ : β₃ ≠ 0, H₁ : β₃ = 0
D) H₀ : β₃ < 0,H₁ : β₃ > 0