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 1 =% Attendance, X 2 = Salaries and X 3 = Spending: -Referring to Scenario 18-8,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 all the other independent variables? A)H₁: $\beta$₀ $\neq$ 0 B)H₁: $\beta$₁$\neq$ 0 C)H₁: $\beta$₂$\neq$ 0 D)H₁: $\beta$₃ $\neq$ 0

Question

Quizplus · Accepted Answer

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 all the other independent variables is H₁: β3 ≠ 0. This can be found in the multiple regression output where the coefficient for X₃ (instructional spending per pupil) is given as 0.000129 with a corresponding p-value of 0.006. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that instructional spending per pupil has a significant effect on percentage of students passing the proficiency test, after controlling for the effects of % Attendance and Salaries.

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

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