In a poll of 1000 randomly selected voters in a local election, 59 voters were against school bond measures. What is the 95% confidence interval? [ [smaller value, larger value]

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### Confidence Level and Critical Values

The table below shows the critical values associated with different confidence levels:

| Confidence Level | Critical Value \( z^* \) |
|------------------|--------------------------|
| 0.90             | \( z^* = 1.645 \)        |
| 0.95             | \( z^* = 1.960 \)        |
| 0.99             | \( z^* = 2.576 \)        |

### Context Example

In a poll of 1,000 randomly selected voters in a local election, 59 voters were against school bond measures. 

#### Calculation Task

To find out what the 95% confidence interval is, use the critical value of 1.960 for a 95% confidence level. Fill in the calculated values in the provided format: 

\[
[\text{smaller value}, \text{larger value}]
\] 

This interval provides an estimate range for the proportion of the overall population that is against the school bond measures based on the sample data.
Transcribed Image Text:### Confidence Level and Critical Values The table below shows the critical values associated with different confidence levels: | Confidence Level | Critical Value \( z^* \) | |------------------|--------------------------| | 0.90 | \( z^* = 1.645 \) | | 0.95 | \( z^* = 1.960 \) | | 0.99 | \( z^* = 2.576 \) | ### Context Example In a poll of 1,000 randomly selected voters in a local election, 59 voters were against school bond measures. #### Calculation Task To find out what the 95% confidence interval is, use the critical value of 1.960 for a 95% confidence level. Fill in the calculated values in the provided format: \[ [\text{smaller value}, \text{larger value}] \] This interval provides an estimate range for the proportion of the overall population that is against the school bond measures based on the sample data.
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