A federal report indicated that 22% of children ages 2 to 5 years had a good diet, an increase over previous years. How large a sample is needed to estimate the true proportion of children with good diets within 2% and 95% confidence?

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A federal report indicated that 22% of children ages 2 to 5 years had a good diet, an increase over previous years. How large a sample is needed to estimate the true proportion of children with good diets within 2% and 95% confidence?
**Text Transcription for Educational Website:**

---

**Round to Two Decimal Places**

\[ n = \_\_ \]

Based on the answer above, we need a sample size of \_\_ to be within 2% of the true proportion of children ages 2 to 5 years with good diets and be 95% confident.

---

**Interactive Elements:**

- Dropdown menu: "true proportion"
- Input fields: Two spaces for numerical input
- Button: **Submit Question**

**Help and Support:**

- Link: **Message instructor**

Use these elements to calculate and submit your answer. Ensure precision by rounding to two decimal places where applicable. Access help if needed by reaching out to your instructor.
Transcribed Image Text:**Text Transcription for Educational Website:** --- **Round to Two Decimal Places** \[ n = \_\_ \] Based on the answer above, we need a sample size of \_\_ to be within 2% of the true proportion of children ages 2 to 5 years with good diets and be 95% confident. --- **Interactive Elements:** - Dropdown menu: "true proportion" - Input fields: Two spaces for numerical input - Button: **Submit Question** **Help and Support:** - Link: **Message instructor** Use these elements to calculate and submit your answer. Ensure precision by rounding to two decimal places where applicable. Access help if needed by reaching out to your instructor.
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