Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table: Number of Courses Employment Status Total Job No Job Four 19 30 49 Three 27 25 52 Two 37 12 49 Total 83 67 150
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Part C: Perform a chi-square test for the hypotheses.
H0: The number of courses enrolled by students at the local college and their employment status have no association.
Ha: The number of courses enrolled by students at the local college and their employment status have an association.
What can you conclude based on the p-value?
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