A survey of a random sample of voters shows that 56% plan to vote Yes to the new proposition and 44% plan to vote No. The survey has a margin of error of ±4%. What is the range for the percentage of votes who plan to vote Yes? 52% to 60% 40% to 48% 50% to 60% 56% to 60%

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Understanding Survey Results and Margin of Error

A survey of a random sample of voters shows that 56% plan to vote Yes to the new proposition and 44% plan to vote No. The survey has a margin of error of ±4%. What is the range for the percentage of votes who plan to vote Yes?

### Multiple Choice Options:
- ⓐ  52% to 60%
- ⓑ  40% to 48%
- ⓒ  50% to 60%
- ⓓ  56% to 60%

When interpreting survey results, it's important to account for the margin of error. In this case, the margin of error is ±4%. To understand the range for the percentage of votes who plan to vote Yes:

1. **Starting Percentage:** 
   - 56% plan to vote Yes.
2. **Margin of Error Calculation:**
   - 56% ± 4% gives us a range.
   - Lower limit: 56% - 4% = 52%
   - Upper limit: 56% + 4% = 60%
   
Therefore, the range for the percentage of votes who plan to vote Yes is:
- **52% to 60%**

The correct answer is therefore:
- **ⓐ  52% to 60%**
Transcribed Image Text:### Understanding Survey Results and Margin of Error A survey of a random sample of voters shows that 56% plan to vote Yes to the new proposition and 44% plan to vote No. The survey has a margin of error of ±4%. What is the range for the percentage of votes who plan to vote Yes? ### Multiple Choice Options: - ⓐ 52% to 60% - ⓑ 40% to 48% - ⓒ 50% to 60% - ⓓ 56% to 60% When interpreting survey results, it's important to account for the margin of error. In this case, the margin of error is ±4%. To understand the range for the percentage of votes who plan to vote Yes: 1. **Starting Percentage:** - 56% plan to vote Yes. 2. **Margin of Error Calculation:** - 56% ± 4% gives us a range. - Lower limit: 56% - 4% = 52% - Upper limit: 56% + 4% = 60% Therefore, the range for the percentage of votes who plan to vote Yes is: - **52% to 60%** The correct answer is therefore: - **ⓐ 52% to 60%**
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