Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound = 0.206, upper bound = 0.784, n= 1200 The point estimate of the population proportion is (Round to the nearest thousandth as needed )

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Find point estimate of the population proportion and also the margin of error. 

**Transcription for Educational Website:**

---

**Determine the Point Estimate of the Population Proportion**

This exercise involves calculating statistical measures related to a specific sample. Below are the details provided:

- **Lower bound** of the confidence interval: 0.206
- **Upper bound** of the confidence interval: 0.784
- **Sample size (n)**: 1200

**Goal:**

1. **Point Estimate of the Population Proportion**
   - Calculate the point estimate of the population proportion from the given confidence interval. This involves finding the midpoint between the lower and upper bounds.

2. **Margin of Error**
   - Calculate the margin of error, which is half the width of the confidence interval.

3. **Number of Individuals with a Specific Characteristic (x)**
   - Use the point estimate to determine the approximate number of individuals in the sample with the specified characteristic.

**Instructions:**

- Round the point estimate to the nearest thousandth as needed.

**Input Field:**

- Enter your calculated point estimate in the provided box.

**Note:**

- This information aids in understanding how to derive estimates and interpret confidence intervals in statistics.

**Interactive Element:**

- A "Question Viewer" button is present for accessing the question details.

--- 

No graphs or diagrams are present in the image.
Transcribed Image Text:**Transcription for Educational Website:** --- **Determine the Point Estimate of the Population Proportion** This exercise involves calculating statistical measures related to a specific sample. Below are the details provided: - **Lower bound** of the confidence interval: 0.206 - **Upper bound** of the confidence interval: 0.784 - **Sample size (n)**: 1200 **Goal:** 1. **Point Estimate of the Population Proportion** - Calculate the point estimate of the population proportion from the given confidence interval. This involves finding the midpoint between the lower and upper bounds. 2. **Margin of Error** - Calculate the margin of error, which is half the width of the confidence interval. 3. **Number of Individuals with a Specific Characteristic (x)** - Use the point estimate to determine the approximate number of individuals in the sample with the specified characteristic. **Instructions:** - Round the point estimate to the nearest thousandth as needed. **Input Field:** - Enter your calculated point estimate in the provided box. **Note:** - This information aids in understanding how to derive estimates and interpret confidence intervals in statistics. **Interactive Element:** - A "Question Viewer" button is present for accessing the question details. --- No graphs or diagrams are present in the image.
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