A statistics course at a large university is taught in each semester. A student has noticed that the students in semester 1 and semester 2 are enrolled in different degrees. To investigate, the student takes a random sample of 25 students from semester 1 and 25 students from semester 2 and records their final marks (%) provided in the table below. Excel was used to generate descriptive statistics on each sample.
Assume that student final marks are normally distributed in each semester. 
Estimate and interpret a 95% confidence interval for the proportion of semester 2 students that passed the course.
Definitions:
Dependent Variables
Dependent variables are outcomes or responses whose changes are influenced by the manipulation of independent variables in an experimental setup.
Positively Related
A relationship between two variables in which they move in the same direction.
Slope Regression Coefficient
A parameter in linear regression that quantifies the change in the dependent variable for each unit change in an independent variable.
Simple Linear Regression
A statistical method that models the relationship between a dependent variable and one independent variable by fitting a linear equation to observed data.
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