identify the population proportion, the value of margin of error E, and construct the confidence interval

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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identify the population proportion, the value of margin of error E, and construct the confidence interval 

### Determining Population Proportion from a Poll

A research institute conducted a poll to assess the perceived vulnerability to identity theft among respondents. Here are the details of the poll:

- Total number of respondents: \( n = 909 \)
- Respondents who felt vulnerable to identity theft: \( x = 576 \)

**Task:**
Using a 90% confidence level:

a) Find the best point estimate of the population proportion \( p \).

To proceed with the calculation, you can use the provided z-score table by clicking the icon. 

[Click the icon to view a table of z scores.]

**Calculation Instructions:**
Use the formula for the sample proportion \( \hat{p} \):

\[ \hat{p} = \frac{x}{n} \]

Then round to three decimal places, as needed.

**Answer:**
[Input box for the calculated value]

**Note:**
Ensure the value is rounded to three decimal places before submitting your response.
Transcribed Image Text:### Determining Population Proportion from a Poll A research institute conducted a poll to assess the perceived vulnerability to identity theft among respondents. Here are the details of the poll: - Total number of respondents: \( n = 909 \) - Respondents who felt vulnerable to identity theft: \( x = 576 \) **Task:** Using a 90% confidence level: a) Find the best point estimate of the population proportion \( p \). To proceed with the calculation, you can use the provided z-score table by clicking the icon. [Click the icon to view a table of z scores.] **Calculation Instructions:** Use the formula for the sample proportion \( \hat{p} \): \[ \hat{p} = \frac{x}{n} \] Then round to three decimal places, as needed. **Answer:** [Input box for the calculated value] **Note:** Ensure the value is rounded to three decimal places before submitting your response.
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