Final answer:
The subject in question involves calculating probabilities and percentages in a high school-level statistics class. The questions are practical applications that help students understand core concepts of statistics, employing real-world scenarios to elucidate these mathematical concepts.
Step-by-step explanation:
The question provides a scenario involving the potential attendance of Evergreen Valley College (EVC) students at a movie premiere and relates to an understanding of probability and statistics. The instructor believes that fewer than 20 percent of students attended the showing. With a sample of 84 students, and 11 attending, the instructor would calculate the percentage by dividing the number of students who attended the event by the total number surveyed and compare it to the hypothesized percentage.
In a different, yet related context, high school seniors' involvement in sports and their post-graduation plans are used to bring another probability example into play. The likelihood of a senior going to college while also being on a sports team is determined by dividing the number of students who fit both criteria by the total number of students.
These questions align with lessons in a statistics class and would typically fall under a high school or introductory college-level curriculum. Students learning probabilities and percentages would benefit from these practical applications to understand the concepts of statistics.