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

question 89

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 mean teacher salary has any effect on percentage of students passing the proficiency test, considering the effect of instructional spending per pupil?

• 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:

Maximum Imposed Price

Refers to a price ceiling, which is the highest legal price that can be charged for a product or service, typically set by the government.

Government

The organization or system through which a society or community is governed, typically consisting of various institutions and authorities.

Market

Any structure that allows buyers and sellers to exchange any type of goods, services, and information.

Perfectly Inelastic

A situation in demand where the quantity demanded does not change regardless of changes in price.