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Chapter 1: Problem 23

The Future Government Club wants to sponsor a panel discus? sion on the upcoming national election. The club wants to have four of its members lead the panel discussion. To be fair, however, the panel should consist of two Democrats and two Republicans. Below is a list of the Democrats and Republicans who are currently members of the club. Obtain a stratified sample of two Democrats and two Republicans to serve on the panel.

Short Answer

Expert verified
Randomly select two Democrats and two Republicans to form a panel of four members.

Step by step solution

01

Identify the Populations

List all the members of the club, divided into two categories based on their political affiliation: Democrats and Republicans.
02

Formulate the Strata

Consider the two populations (Democrats and Republicans) as two separate strata.
03

Randomly Select from Each Stratum

Use a random selection method to pick two members from the list of Democrats and two members from the list of Republicans.
04

Compile the Panel Members

Combine the randomly selected Democrats and Republicans to form the panel of four members that will lead the discussion.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

random selection
Random selection is a key concept in creating a fair and unbiased sample. In the context of the Future Government Club's panel discussion, it ensures that every member has an equal chance of being chosen.

By using random selection, you avoid favoritism and provide an honest representation of both Democrats and Republicans. One of the most common methods for random selection is using a random number generator or drawing names from a hat.

Random selection involves several steps:
  • First, list all eligible members for each group (Democrats and Republicans).
  • Next, decide on the method to randomize the selection.
  • Then, apply the chosen method to pick members.
This method helps you create a balanced panel that accurately reflects the membership composition of the club.
political affiliation
Political affiliation refers to the political party to which individuals align themselves. It's an important factor in the stratified sampling for the Future Government Club's panel.

For the panel discussion, the club has members who identify as Democrats and Republicans. Ensuring representation from both sides promotes a balanced and comprehensive discussion.

The steps to incorporate political affiliation in the sample are:
  • Identify and list all members and their political affiliations.
  • Divide the lists into different political groups (Democrats and Republicans).
  • Select members from these groups using random selection.
This method guarantees that the panel discussion will be fair and inclusive, reflecting the diverse political perspectives within the club.
panel discussion
A panel discussion is an interactive conversation among selected individuals, often on a specific topic. In the Future Government Club, it provides a platform for members to discuss the upcoming national election.

Panel discussions follow a structured format:
  • Panel members are selected based on criteria such as expertise or representation.
  • A moderator facilitates the discussion, ensuring everyone gets a chance to speak.
  • Audience questions may be incorporated to engage the wider group.
For this particular discussion, the panel includes two Democrats and two Republicans. This setup ensures a balanced and diverse conversation, representing multiple viewpoints on the election topic.

The panel aims to provide insights, promote understanding, and engage the club members on pertinent political issues.
educational club
An educational club, like the Future Government Club, provides a space for members to learn and discuss various topics. These clubs enrich members' knowledge and promote intellectual growth.

Key benefits of educational clubs:
  • They offer a structured environment for learning about specific interests.
  • Members get opportunities to engage in meaningful discussions and debates.
  • These clubs often organize events, such as panel discussions, workshops, and guest speaker sessions.
The Future Government Club focuses on political education and civic engagement. By organizing a panel discussion on the national election, the club enhances members' understanding of political processes and encourages active participation in civic life.

Clubs like these foster a community of like-minded individuals who support each other in their educational pursuits and personal growth.

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