Construct a 90% confidence interval of the population proportion using the given information. X= 180, n = 300 Click here to view the table of critical values. Table of critical values The lower bound is The upper bound is. (Round to three decimal places as needed.) Level of Confidence, Area in Each Tail, Critical Value, z (1 - a)· 100% 90% 0,05 1.645 95% 0.025 1.96 99% 0,005 2.575 Print Done

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# Construct a 90% Confidence Interval of the Population Proportion

To construct a 90% confidence interval for the population proportion using the given information:

- **x = 180**
- **n = 300**

### Steps:

1. **View Table of Critical Values:**
   - Access the necessary critical values to apply to the confidence interval formula.

2. **Identify the Critical Value:**
   - Use the table provided to find the critical value for a 90% confidence level.

#### Table of Critical Values:

| Level of Confidence (1 - α) · 100% | Area in Each Tail, α/2 | Critical Value, zα/2 |
|-----------------------------------|------------------------|----------------------|
| 90%                               | 0.05                   | 1.645                |
| 95%                               | 0.025                  | 1.96                 |
| 99%                               | 0.005                  | 2.575                |

### Calculate the Confidence Interval:

- **Lower Bound:** \( \_ \)
  
- **Upper Bound:** \( \_ \)

*Round to three decimal places as needed.*

---

In this exercise, use the critical value for a 90% confidence interval (1.645) to determine the bounds of the confidence interval for the proportion.
Transcribed Image Text:# Construct a 90% Confidence Interval of the Population Proportion To construct a 90% confidence interval for the population proportion using the given information: - **x = 180** - **n = 300** ### Steps: 1. **View Table of Critical Values:** - Access the necessary critical values to apply to the confidence interval formula. 2. **Identify the Critical Value:** - Use the table provided to find the critical value for a 90% confidence level. #### Table of Critical Values: | Level of Confidence (1 - α) · 100% | Area in Each Tail, α/2 | Critical Value, zα/2 | |-----------------------------------|------------------------|----------------------| | 90% | 0.05 | 1.645 | | 95% | 0.025 | 1.96 | | 99% | 0.005 | 2.575 | ### Calculate the Confidence Interval: - **Lower Bound:** \( \_ \) - **Upper Bound:** \( \_ \) *Round to three decimal places as needed.* --- In this exercise, use the critical value for a 90% confidence interval (1.645) to determine the bounds of the confidence interval for the proportion.
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