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

question 176

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 null 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)H₀ : \(\beta\)₀ = \(\beta\)₁ = \(\beta\)₂ = \(\beta\)₃ = 0
• B)H₀ : \(\beta\)₁ =\(\beta\)₂ =\(\beta\)₃ = 0
• C)H₀ : \(\beta\)₀ = \(\beta\)₁ = \(\beta\)₂ =\(\beta\)₃ \(\neq\) 0
• D)H₀ : \(\beta\)₁ =\(\beta\)₂ =\(\beta\)₃ \(\neq\) 0

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