Critical values for quick reference during this activity. Confidence level Critical value 0.90 z* = 1.645 0.95 z* = 1.960 0.99 z* = 2.576 Jump to level 1 In a poll of 1000 randomly selected voters in a local election, 778 voters were against fire department bond measures. What is the sample proportion p? Ex: 0.123 What is the margin of error m for the 99% confidence level? Ex: 0.123
Critical values for quick reference during this activity. Confidence level Critical value 0.90 z* = 1.645 0.95 z* = 1.960 0.99 z* = 2.576 Jump to level 1 In a poll of 1000 randomly selected voters in a local election, 778 voters were against fire department bond measures. What is the sample proportion p? Ex: 0.123 What is the margin of error m for the 99% confidence level? Ex: 0.123
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Critical Values for Quick Reference During This Activity
| Confidence Level | Critical Value |
|------------------|----------------------------|
| 0.90 | \( z^* = 1.645 \) |
| 0.95 | \( z^* = 1.960 \) |
| 0.99 | \( z^* = 2.576 \) |
### Example Problem
**Jump to level 1**
In a poll of **1000** randomly selected voters in a local election, **778** voters were against fire department bond measures.
**Questions:**
1. What is the sample proportion \( \hat{p} \)?
- **Input Format:** Ex: 0.123
2. What is the margin of error \( m \) for the **99% confidence level**?
- **Input Format:** Ex: 0.123
### Graphical Explanation
There is a table presented above containing critical values for different confidence levels (0.90, 0.95, and 0.99). These values (\( z^* \)) are necessary for calculating confidence intervals in statistical analysis. The critical values for the given confidence levels are:
- **0.90:** \( z^* = 1.645 \)
- **0.95:** \( z^* = 1.960 \)
- **0.99:** \( z^* = 2.576 \)
These values help to determine the z-scores, which are then used to calculate the margin of error, and subsequently, the confidence intervals for estimating population parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27ec48fc-1061-48d0-b859-d5b1308c8e53%2F4545311a-f543-4753-b29f-63c8955b0617%2Fe4hphc_processed.png&w=3840&q=75)
Transcribed Image Text:### Critical Values for Quick Reference During This Activity
| Confidence Level | Critical Value |
|------------------|----------------------------|
| 0.90 | \( z^* = 1.645 \) |
| 0.95 | \( z^* = 1.960 \) |
| 0.99 | \( z^* = 2.576 \) |
### Example Problem
**Jump to level 1**
In a poll of **1000** randomly selected voters in a local election, **778** voters were against fire department bond measures.
**Questions:**
1. What is the sample proportion \( \hat{p} \)?
- **Input Format:** Ex: 0.123
2. What is the margin of error \( m \) for the **99% confidence level**?
- **Input Format:** Ex: 0.123
### Graphical Explanation
There is a table presented above containing critical values for different confidence levels (0.90, 0.95, and 0.99). These values (\( z^* \)) are necessary for calculating confidence intervals in statistical analysis. The critical values for the given confidence levels are:
- **0.90:** \( z^* = 1.645 \)
- **0.95:** \( z^* = 1.960 \)
- **0.99:** \( z^* = 2.576 \)
These values help to determine the z-scores, which are then used to calculate the margin of error, and subsequently, the confidence intervals for estimating population parameters.
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