Final answer:
High school sports are considered organized sports, and if 8 percent of students participate throughout high school, an average of 5 out of 60 seniors would be expected to have participated all four years. Zero participants would be surprising as the expected number is closer to 5, with a numerical justification based on the probability of participation.
option (C)
Step-by-step explanation:
High school sports are typically an example of organized sport. These sports programs are structured and officially sanctioned by educational institutions and often involve scheduled competitions, coaches, and team practices.
If approximately 8 percent of students at a local high school participate in after-school sports all four years of high school and a group of 60 seniors is randomly chosen, we can expect:
- Expected participants: 8% of 60 seniors = 0.08 x 60 = 4.8, which we would round to 5 students on average.
- Surprise at zero participants: Having zero participants would be surprising since the expected value is 4.8. This expectation is based on the probability multiplied by the number of seniors.
- Likelihood of 4 vs 5 participants: Since 4.8 is closer to 5, numerically it's slightly more likely that five seniors, rather than four, have participated in after-school sports all four years.
To analyze if we'd be surprised by zero seniors participating, we can check the probability of this extreme situation using a binomial probability calculation.