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Understand Representative Samples LESSON 12.1 More Practi Homework For Problems 1-3, use the following information. The president of a national soccer fan club, Abdul, wants to determine if the club's 10,000 members are in favor of using club dues to make a new online video to support their team in the upcoming championship. He assigns a number to each member and uses a random number generator to choose 250 members to survey. 1. Identify the population and sample. \( \qquad \) Papulation: All 10,000 members sample 2. Is the sample representative of the entire population? Explain. \( \qquad \) \( \qquad \) 3. Suppose 212 of the 250 members in a random sample are in favor of using club dues to make a new video for their team. What can Abdul conclude about the results of the survey? Explain. \( \qquad \) \( \qquad \)

Ask by Olson Hodges. in the United States
Mar 12,2025

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1. **Population and Sample** - **Population:** All 10,000 members of the fan club. - **Sample:** 250 members selected randomly. 2. **Representativeness** The sample is likely representative because it was chosen randomly, giving every member an equal chance of being selected. 3. **Survey Results** 212 out of 250 members support using club dues for a new video, which means about 84.8% of the surveyed members are in favor. Abdul can conclude that there is strong support among the club members for this initiative.

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Bonus Knowledge

In this scenario, the population includes all 10,000 club members, while the sample consists of the 250 randomly selected members surveyed. Using a random number generator helps ensure that each member has an equal chance of being selected, which is essential for reducing bias in the sample. Since the sample of 250 members is randomly chosen from the entire club membership of 10,000, it is likely to be representative of the population. This means that the opinions of the surveyed members can be generalized to reflect the views of all club members, assuming no significant external influences affect the sample's views.

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