SCENARIO 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, = Salaries and Spending:
-Referring to Scenario 14-15, which of the following is the correct alternative 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?

Question

SCENARIO 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,  = Salaries and  Spending:  
-Referring to Scenario 14-15, which of the following is the correct alternative 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?

Quizplus · Accepted Answer

The correct alternative 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 is that the coefficient of Salaries variable (11ebc114_12bc_50ca_8acb_c9f42eb7c0ec_TB8562_00) is not equal to zero. Therefore, the alternative hypothesis is 11ebc114_12bd_fe89_8acb_c77c699db2f7_TB8562_11. The correct alternative 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 is:

B) 11ebc114_12bd_fe89_8acb_c77c699db2f7_TB8562_11 - The mean percentage of students passing the proficiency test is not equal among the different categories of teacher salary, after controlling for the effect of instructional spending per pupil.

This alternative hypothesis considers the effect of both mean teacher salary and instructional spending per pupil on the percentage of students passing the proficiency test and tests whether there is a significant difference in the mean percentage of students passing the proficiency test among different categories of mean teacher salary after controlling for the effect of instructional spending per pupil.

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