Final answer:
The research question investigates the connection between the number of study hours (independent variable) and student GPAs (dependent variable) in high school, proposing a linear relationship to be verified using Pearson Correlation Coefficient and linear regression analysis.
Step-by-step explanation:
As a researcher interested in the sociological aspects of education, one might formulate a research question focusing on the relationship between students' study habits and their academic performance. Here is an example of how one could design such a research project:
Research Question: Does the number of hours high school students dedicate to studying per week (independent variable) affect their overall GPA (dependent variable)?
Independent Variable: Number of study hours per week, measured in hours (interval-ratio level).
Dependent Variable: GPA, measured on a scale from 0.0 to 4.0 (interval-ratio level).
Unit of Analysis: High school students.
Hypotheses
Null Hypothesis (H0): There is no statistically significant relationship between the number of study hours per week and the students' GPAs.
Research Hypothesis (Ha): There is a statistically significant relationship between the number of study hours per week and the students' GPAs.
Test Statistics
An appropriate test statistic for this research design would be the Pearson Correlation Coefficient, followed by a linear regression analysis if a significant correlation is found. This would allow for both the verification of a relationship between the variables and the prediction of GPA based on study hours.