Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 4 percentage points and use a confidence level of 99%. Complete parts (a) and (b) below. a. Assume that p and q are unknown. n = 1037 (Round up to the nearest integer.) b. Assume that 22% of adults can wiggle their ears. n= (Round up to the nearest integer.)

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**Estimating Sample Size for Ear-Wiggling Ability**

To determine the sample size necessary for estimating the percentage of adults who can wiggle their ears, consider the following:

Use a margin of error of 4 percentage points and a 99% confidence level. Complete parts (a) and (b) below:

---

**a. If \( \hat{p} \) and \( \hat{q} \) are unknown:**

- Required sample size \( n = 1037 \)

*(Round up to the nearest integer.)*

---

**b. If it is assumed that 22% of adults can wiggle their ears:**

- Required sample size \( n = \) [Blank for calculation]

*(Round up to the nearest integer.)*
Transcribed Image Text:**Estimating Sample Size for Ear-Wiggling Ability** To determine the sample size necessary for estimating the percentage of adults who can wiggle their ears, consider the following: Use a margin of error of 4 percentage points and a 99% confidence level. Complete parts (a) and (b) below: --- **a. If \( \hat{p} \) and \( \hat{q} \) are unknown:** - Required sample size \( n = 1037 \) *(Round up to the nearest integer.)* --- **b. If it is assumed that 22% of adults can wiggle their ears:** - Required sample size \( n = \) [Blank for calculation] *(Round up to the nearest integer.)*
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