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 a 95% confidence interval for the difference in the proportions of students who received a high distinction in semester 1 to semester 2.
Definitions:
Iron-Fortified Formula
Infant formula enriched with iron to ensure adequate iron status and prevent anemia.
Tasting
The sensory experience of determining flavors through organs in the mouth, especially the tongue.
Teething
The period during which an infant's teeth begin to emerge through the gums.
Ingesting
The process of taking food, drink, or another substance into the body by swallowing or absorbing it.
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