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SAT Advanced Poll, Survey and Proportion Practice Questions

SAT Advanced Poll, Survey and Proportion Practice Questions

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A survey found that 60% of respondents support a new law, while 40% oppose it. If 2,500 people were surveyed, and 10% of those who initially supported the law changed their minds and now oppose it, how many more people still support the law compared to those who oppose it?

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A survey of 3,000 people found that 40% preferred Method A, 35% preferred Method B, and 25% preferred Method C. If the survey population were increased by 50%, and 10% of those who initially preferred Method A switched to Method B, while 5% of those who initially preferred Method B switched to Method C, how many more people would prefer Method B over Method C?

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In a survey of 1,200 people, 40% preferred Product A, and 60% preferred Product B. If the survey population were increased to 3,000 people, how many more people would prefer Product B over Product A?

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A survey of 1,500 people found that 55% preferred Candidate C, 35% preferred Candidate D, and 10% were undecided. If the undecided voters split evenly between the two candidates, how many more votes would Candidate C receive compared to Candidate D?

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Survey results:
Option X - 750 responses
Option Y - 250 responses

A survey was conducted among 1,000 participants. If the survey were extended to include 5,000 participants, by how many more responses would Option X be expected over Option Y?

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A class survey shows:
Students who prefer online classes - 40%
Students who prefer in-person classes - 60%

If there are 200 students in the class, how many more students prefer in-person classes than online classes?

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A survey of 2,000 people found that 50% preferred Brand X, 30% preferred Brand Y, and 20% preferred Brand Z. If the survey population were doubled and an additional 10% of those who initially preferred Brand X switched to Brand Y, how many more people would prefer Brand Y over Brand Z?

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A poll on favorite sports:
Football - 50%
Basketball - 30%
Soccer - 20%

If 2,000 people were polled, how many more people chose Football over Soccer?

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An opinion poll on a new policy:
Supportive - 65%
Opposed - 35%

If 8,000 people were surveyed, how many more people supported the policy compared to those who opposed it?

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About This Quiz

Concept Explanation:

The core concept tested in these questions involves understanding and applying proportions and percentages to real-world scenarios, particularly in the context of polls and surveys. Students need to:

  • Calculate the percentage of a given total.
  • Determine the actual number of individuals based on the given percentage.
  • Adjust for changes in the total population or shifts in preferences.
  • Compute the difference between two groups after making necessary adjustments.

This requires careful attention to detail and the ability to follow multi-step reasoning processes.

Success Tips:

  1. Understand the Problem Statement: Read the problem carefully to identify the total number of participants, the initial percentages, and any changes in preferences or population size.
  2. Calculate Initial Percentages: Use the formula Number of Participants = Total Population * Percentage to find the initial number of participants in each category.
  3. Adjust for Changes: If there are changes in preferences or population size, adjust the numbers accordingly. For example, if 10% of one group switches to another, calculate the number of individuals switching and adjust the totals.
  4. Compute Differences: After adjusting for any changes, compute the difference between the final numbers of participants in the relevant categories.
  5. Check Your Work: Double-check your calculations to ensure accuracy. Verify that the sum of adjusted percentages equals the total population.
  6. Practice Multi-Step Problems: Regularly practice multi-step problems to improve your ability to handle complex scenarios efficiently.

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