TABLE 14-15
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 X₂ = Spending:
-Referring to Table 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,taking into account the effect of mean teacher salary?

Question

TABLE 14-15
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 X₂ = Spending:

-Referring to Table 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,taking into account the effect of mean teacher salary?

Quizplus · Accepted Answer

The alternative hypothesis to test the effect of instructional spending per pupil on percentage of students passing the proficiency test, taking into account the effect of mean teacher salary, is H₁ : β₂ ≠ 0. This is because the coefficient of the spending variable (X₂) is being tested, and the null hypothesis assumes that the coefficient is equal to zero, indicating that there is no effect of instructional spending on the percentage of students passing the proficiency test. The alternative hypothesis, therefore, assumes that the coefficient is not equal to zero, indicating that instructional spending does have an effect on the percentage of students passing the proficiency test.

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