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.)
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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e0da0a9-20ae-48e0-aaa8-15b679eac580%2F73f6b3b7-cf0f-4b07-9a3a-5b72e3ce3361%2Fw7zt5i8_processed.png&w=3840&q=75)
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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