As part of a school project students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team. Each student will randomly select 6 students. One student found out that 5 of the 6 play a sport. The teacher has collected data from all students and found that out of the 31 students in the class 20 of them played sports. Give the statistic for the percentage of students who play sports. Round your answer to two decimal places. Your Answer: Answer

To find the percentage of students who play sports, you would divide the number of students who play sports by the total number of students in the class and then multiply by 100. In this case, that's \( \frac{20}{31} \times 100 \approx 64.52\% \). So, rounded to two decimal places, the statistic is approximately 64.52%. Additionally, you might find it interesting that random sampling is a fundamental concept in statistics that helps researchers draw inferences about a population from a smaller subset. It's widely used in various fields, including psychology, marketing, and healthcare, to ensure that findings are representative and reliable. Statistics isn't just about numbers; it's also key in decision-making processes! For instance, businesses use sampling to understand customer preferences without surveying everyone. One common mistake in sampling is not ensuring the sample is truly random, which can lead to biases. So, always make sure your sampling method is sound for the best results!