**Task: Calculating Margin of Error and Sample Proportion** **Objective:** Use the given confidence interval to find the margin of error and the sample proportion. **Given Confidence Interval:** \[ (0.629, 0.659) \] **Instructions:** 1. **Margin of Error (E):** - Calculate the margin of error and input your result as an integer or a decimal. 2. **Sample Proportion (\(\hat{p}\)):** - Determine the sample proportion and input your result as an integer or a decimal. **Formulae:** - To calculate the sample proportion (\(\hat{p}\)): \[ \hat{p} = \frac{\text{Upper Limit} + \text{Lower Limit}}{2} \] - To calculate the margin of error (E): \[ E = \frac{\text{Upper Limit} - \text{Lower Limit}}{2} \] **Notes:** - Make sure to enter the values accurately as per the instructions provided. - Double-check your calculations to ensure correctness. **Field for Input:** - E = [ ] - \(\hat{p}\) = [ ] Use the space provided to input your numerical answers.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Task: Calculating Margin of Error and Sample Proportion**

**Objective:**
Use the given confidence interval to find the margin of error and the sample proportion.

**Given Confidence Interval:**
\[ (0.629, 0.659) \]

**Instructions:**

1. **Margin of Error (E):**
   - Calculate the margin of error and input your result as an integer or a decimal.

2. **Sample Proportion (\(\hat{p}\)):**
   - Determine the sample proportion and input your result as an integer or a decimal.

**Formulae:**
- To calculate the sample proportion (\(\hat{p}\)): 
  \[ \hat{p} = \frac{\text{Upper Limit} + \text{Lower Limit}}{2} \]

- To calculate the margin of error (E):
  \[ E = \frac{\text{Upper Limit} - \text{Lower Limit}}{2} \]

**Notes:**
- Make sure to enter the values accurately as per the instructions provided.
- Double-check your calculations to ensure correctness.

**Field for Input:**
- E = [ ]
- \(\hat{p}\) = [ ]

Use the space provided to input your numerical answers.
Transcribed Image Text:**Task: Calculating Margin of Error and Sample Proportion** **Objective:** Use the given confidence interval to find the margin of error and the sample proportion. **Given Confidence Interval:** \[ (0.629, 0.659) \] **Instructions:** 1. **Margin of Error (E):** - Calculate the margin of error and input your result as an integer or a decimal. 2. **Sample Proportion (\(\hat{p}\)):** - Determine the sample proportion and input your result as an integer or a decimal. **Formulae:** - To calculate the sample proportion (\(\hat{p}\)): \[ \hat{p} = \frac{\text{Upper Limit} + \text{Lower Limit}}{2} \] - To calculate the margin of error (E): \[ E = \frac{\text{Upper Limit} - \text{Lower Limit}}{2} \] **Notes:** - Make sure to enter the values accurately as per the instructions provided. - Double-check your calculations to ensure correctness. **Field for Input:** - E = [ ] - \(\hat{p}\) = [ ] Use the space provided to input your numerical answers.
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