SCENARIO 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), mean teacher salary in thousands of dollars (Salaries), and instructional spending per pupil in thousands of dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X 1 = Salaries and X 2 = Spending:

-Referring to Scenario 14-15,which of the following is the correct alternative hypothesis to test whether instructional spending per pupil has any effect on percentage of students passing the proficiency test,considering the effect of mean teacher salary?
A)H 1 : $\beta$ 0 = 0
B)H 1 : $\beta$ 1 = 0
C)H 1 : $\beta$ 2 =0
D)H 1 : $\beta$ 3 = 0

Question

SCENARIO 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), mean teacher salary in thousands of dollars (Salaries), and instructional spending per pupil in thousands of dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X 1 = Salaries and X 2 = Spending:

-Referring to Scenario 14-15,which of the following is the correct alternative hypothesis to test whether instructional spending per pupil has any effect on percentage of students passing the proficiency test,considering the effect of mean teacher salary?
A)H 1 : $\beta$ 0 = 0 
B)H 1 : $\beta$ 1 = 0 
C)H 1 : $\beta$ 2 =0 
D)H 1 : $\beta$ 3 = 0

Quizplus · Accepted Answer

The alternative hypothesis to test whether instructional spending per pupil has any effect on percentage of students passing the proficiency test, considering the effect of mean teacher salary, is S1S1P0S1U1P1 S1S1P0H S1U1B11 S1U1B0: F1F1F1S1β1≠0S1U1B12 S1U1B0, which is option C. This is because S1U1B12 is the coefficient of Spending (XS2) and we want to test if it is significantly different from 0, while controlling for the effect of mean teacher salary (S1U1B11). The null hypothesis is that there is no significant effect of instructional spending per pupil on the percentage of students passing the proficiency test, after controlling for mean teacher salary.

SCENARIO 14-15 the Superintendent of a School District Wanted to Predict

SCENARIO 14-15
the Superintendent of a School District Wanted to Predict