SCENARIO 18-8
the Superintendent of a School District Wanted to Predict

Multiple Choice

SCENARIO 18-8
The superintendent of a school district wanted to predict the percentage of students passing a sixth- grade proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing) ,daily mean of the percentage of students attending class (% Attendance) ,mean teacher salary in dollars (Salaries) ,and instructional spending per pupil in dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X₁ =% Attendance, X ₂ = Salaries and X₃ = Spending:

-Referring to Scenario 18-8,which of the following is the correct alternative hypothesis to determine whether there is a significant relationship between percentage of students passing the proficiency test and the entire set of explanatory variables?

A) H₁ : $\beta$ ₀ = $\beta$ ₁ = $\beta$ ₂ = $\beta$ ₃ $\neq$ 0
B) H₁ : $\beta$ ₁ = $\beta$ ₂ = $\beta$ ₃ $\neq$ 0
C) H₁ : At least one of $\beta$ _j $\neq$ 0 for j = 0,1,2,3
D) H₁ : At least one of $\beta$ _j $\neq$ 0 for j = 1,2,3