Calculate the 95% margin of error in estimating a binomial proportion p using samples of size n = 200 and the following value for p. (Round your answer to four decimal places.) P = 0.9 USE SALT Consider that for n = 200 and values of p equal to 0.1, 0.3, 0.5, and 0.7 the values of the margins of error are 0.0416, 0.0635, 0.0693, and 0.0635. What value of p produces the largest margin of error? Op = 0.1 O p = 0.3 O p = 0.5 O p = 0.7 Op = 0.9

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**Calculate the 95% Margin of Error for a Binomial Proportion**

**Objective:**
Estimate the 95% margin of error (ME) for a binomial proportion \( p \) using samples of size \( n = 200 \), with \( p = 0.9 \). Ensure to round your answer to four decimal places.

**Procedure:**

1. **Select the Proportion Value:**
   - \( p = 0.9 \)

2. **Use Calculation Tool:**
   - Click the "USE SALT" button to compute the margin of error.

3. **Enter the Calculated Margin of Error:**
   - Input the computed margin of error in the provided space.

**Exercise:**
Consider \( n = 200 \) and the following values for \( p \): 0.1, 0.3, 0.5, and 0.7. The corresponding margins of error are: 
- For \( p = 0.1 \) : ME = 0.0416
- For \( p = 0.3 \) : ME = 0.0635
- For \( p = 0.5 \) : ME = 0.0693
- For \( p = 0.7 \) : ME = 0.0635

**Question:**
Which value of \( p \) yields the largest margin of error?

**Options:**
- \( p = 0.1 \)
- \( p = 0.3 \)
- \( p = 0.5 \)
- \( p = 0.7 \)
- \( p = 0.9 \)
Transcribed Image Text:**Calculate the 95% Margin of Error for a Binomial Proportion** **Objective:** Estimate the 95% margin of error (ME) for a binomial proportion \( p \) using samples of size \( n = 200 \), with \( p = 0.9 \). Ensure to round your answer to four decimal places. **Procedure:** 1. **Select the Proportion Value:** - \( p = 0.9 \) 2. **Use Calculation Tool:** - Click the "USE SALT" button to compute the margin of error. 3. **Enter the Calculated Margin of Error:** - Input the computed margin of error in the provided space. **Exercise:** Consider \( n = 200 \) and the following values for \( p \): 0.1, 0.3, 0.5, and 0.7. The corresponding margins of error are: - For \( p = 0.1 \) : ME = 0.0416 - For \( p = 0.3 \) : ME = 0.0635 - For \( p = 0.5 \) : ME = 0.0693 - For \( p = 0.7 \) : ME = 0.0635 **Question:** Which value of \( p \) yields the largest margin of error? **Options:** - \( p = 0.1 \) - \( p = 0.3 \) - \( p = 0.5 \) - \( p = 0.7 \) - \( p = 0.9 \)
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