Question

What are 4 reasons for the "dropoff" of youth sports participation after 11 years old?

a. Increased academic demands, changing interests, lack of quality coaching, parental pressure
b. Insufficient facilities, lack of competition, limited financial resources, family relocation
c. Lack of parental support, reduced physical activity, fear of injury, peer pressure
d. Inadequate equipment, lack of role models, limited access to sports programs, cultural factors

Answer 1

Based on an 8 percent participation rate, the expected number of seniors who participated in after-school sports all four years is about 5. If none participated, this would be statistically surprising given the expected number. The exact likelihood of four versus five seniors participating cannot be determined without more data, but the expected value suggests five.

Step-by-step explanation:

To determine the expected number of seniors who have participated in after-school sports all four years of high school, we can use the given percentage and apply it to the size of the group being studied. If 8 percent of students participate all four years and we have a group of 60 seniors, the expected number is calculated by 0.08 (the participation rate) multiplied by 60 (the number of seniors).

Expected number = 0.08 * 60 = 4.8 seniors. This means we expect about 5 seniors to have participated in sports throughout all four years.

If none of the seniors participated, it would be surprising numerically as we expect about 5 based on the percentages given. The probability of exactly zero students out of 60 having participated all four years when 8 percent is the participation rate would be quite low and not in line with the statistical expectation.

When comparing the likelihood of four or five seniors participating, it would depend on the exact distribution of the data. Without this information, we cannot definitively say which is more likely, but the expected value rounded to the nearest whole number suggests five as the answer