Instruction 13.35
The education department's regional executive officer wanted to predict the percentage of students passing a Grade 6 proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), daily average of the percentage of students attending class (% Attendance), average 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 Instruction 13.35,the null hypothesis should be rejected at a 5% level of significance when testing whether daily mean of the percentage of students attending class has any effect on percentage of students passing the proficiency test,taking into account the effect of all the other independent variables.

Question

Instruction 13.35
The education department's regional executive officer wanted to predict the percentage of students passing a Grade 6 proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), daily average of the percentage of students attending class (% Attendance), average 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 Instruction 13.35,the null hypothesis should be rejected at a 5% level of significance when testing whether daily mean of the percentage of students attending class has any effect on percentage of students passing the proficiency test,taking into account the effect of all the other independent variables.

Quizplus · Accepted Answer

To determine whether the daily mean of percentage of students attending class has any effect on the percentage of students passing the proficiency test, a hypothesis test can be performed. In this case, the null hypothesis would be that the daily mean of percentage of students attending class has no effect on the percentage of students passing the proficiency test, taking into account the effect of all other independent variables. The alternative hypothesis would be that the daily mean of percentage of students attending class does have a significant effect on the percentage of students passing the proficiency test.

If the p-value associated with the coefficient for % Attendance is less than 0.05, then the null hypothesis should be rejected at a 5% level of significance, indicating that there is evidence that the daily mean of percentage of students attending class does have a significant effect on the percentage of students passing the proficiency test, after accounting for the effects of the other independent variables.

Without knowledge of the p-values for this regression, we cannot definitively determine whether the null hypothesis should be rejected, but the statement given in the question is a correct interpretation of what rejecting the null hypothesis at a 5% level of significance would mean.

Instruction 13.35 the Education Department's Regional Executive Officer Wanted to Predict the Predict