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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:
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, X<sub>1 </sub>=% Attendance, X <sub>2 </sub>= Salaries and X<sub>3 </sub>= 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) H<sub>0 </sub>: \beta <sub>0</sub> = \beta <sub>1</sub> = \beta <sub>2</sub> = \beta <sub>3</sub> = 0 B) H<sub>0 </sub>: \beta <sub>1</sub> = \beta <sub>2</sub> = \beta <sub>3</sub> = 0 C) H<sub>0 </sub>: \beta <sub>0</sub> = \beta <sub>1</sub> = \beta <sub>2</sub> = \beta <sub>3</sub> \neq 0 D) H<sub>0 </sub>: \beta <sub>1</sub> = \beta <sub>2</sub> = \beta <sub>3</sub> \neq 0
-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 : β\beta 0 = β\beta 1 = β\beta 2 = β\beta 3 = 0
B) H0 : β\beta 1 = β\beta 2 = β\beta 3 = 0
C) H0 : β\beta 0 = β\beta 1 = β\beta 2 = β\beta 3 ≠\neq 0
D) H0 : β\beta 1 = β\beta 2 = β\beta 3 ≠\neq 0

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