SCENARIO 13-15
the Superintendent of a School District Wanted to Predict

question 226

Multiple Choice

SCENARIO 13-15
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) , 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,
X1 =
Salaries and
X 2 = Spending: $$\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.4276 \\\text { R Square } & 0.1828 \\\text { Adjusted R Square } & 0.1457 \\\text { Standard Error } & 5.7351 \\\text { Observations } & 47 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array} { l r r r r r } \hline & d f & { \text { SS } } & { \text { MS } } & \text { F } & { \text { Significance } F } \\\hline \text { Regression } & 2 & 323.8284 & 161.9142 & 4.9227 & 0.0118 \\\text { Residual } & 44 & 1447.2094 & 32.8911 & & \\\text { Total } & 46 & 1771.0378 & & & \\\hline\end{array}\\\\\begin{array} { l r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & - 72.9916 & 45.9106 & - 1.5899 & 0.1190 & - 165.5184 & 19.5352 \\\text { Salary } & 2.7939 & 0.8974 & 3.1133 & 0.0032 & 0.9853 & 4.6025 \\\text { Spending } & 0.3742 & 0.9782 & 0.3825 & 0.7039 & - 1.5972 & 2.3455 \\\hline\end{array}\end{array}$$
-Referring to SCENARIO 13-15, which of the following is the correct null 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)\(H _ { 0 } : \beta _ { 0 } = 0\)
• B)\(H _ { 0 } : \beta _ { 1 } = 0\)
• C)\(H _ { 0 } : \beta _ { 2 } = 0\)
• D)\(H _ { 0 } : \beta _ { 3 } = 0\)

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Definitions:

Comparative Advantage

The capacity of a person, business, or nation to create a product or offer a service with a lesser opportunity cost compared to its rivals.

Production

The process of creating goods and services through the combination of labor, materials, and technology.

Consumption

The use of goods and services by households or individuals.

Comparative Advantage

An economic theory stating that a country or individual can produce goods at a lower opportunity cost than their trade partners, leading to more efficient trade outcomes.