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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 99% confidence if (a) he uses a previous estimate of 28%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ... (a) n = (Round up to the nearest integer.)

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 99% confidence if (a) he uses a previous estimate of 28%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ... (a) n = (Round up to the nearest integer.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Estimating Sample Size for Abolishing the Penny #### Problem Statement: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 99% confidence if: (a) he uses a previous estimate of 28%? (b) he does not use any prior estimates? #### Instructions: - Click here to view the standard normal distribution table (page 1). - Click here to view the standard normal distribution table (page 2). #### Questions: (a) n = ___ (Round up to the nearest integer.) <div> <button>Help me solve this</button> <button>View an example</button> <button>Get more help ¬</button> <button>Clear all</button> <button>Check answer</button> </div> ### Context: The scenario given focuses on estimating the required sample size for a survey with a specific margin of error and confidence level. Utilizing the standard normal distribution table can help determine the necessary sample size. When no prior estimate is available, a default proportion of 0.5 is commonly used to ensure a conservative and sufficiently large sample size. ### Example Solution: Let's illustrate solving this problem in two steps: 1. Using the previous estimate of 28%. 2. With no prior estimates. For both these calculations, the margin of error (E) is 0.05, and the confidence level is 99%, which corresponds to a z-value obtained from the standard normal distribution table. #### Step-by-Step Calculations (Hypothetical): For detailed guiding on solving such problems, users can click on "Help me solve this" or "View an example" buttons. (Note: This example deliberately does not solve the problem but serves to guide users to detailed resources.) ### User Options: - **Help me solve this:** Step-by-step solution guide. - **View an example:** See a similar solved example. - **Get more help:** Access additional resources or ask for further assistance. - **Clear all:** Reset inputs to start fresh. - **Check answer:** Validate your calculated answer. --- This problem format helps learners practice and understand the necessary statistical methods to estimate sample sizes for surveys within specified confidence levels and margins of error.
Transcribed Image Text:### Estimating Sample Size for Abolishing the Penny #### Problem Statement: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 99% confidence if: (a) he uses a previous estimate of 28%? (b) he does not use any prior estimates? #### Instructions: - Click here to view the standard normal distribution table (page 1). - Click here to view the standard normal distribution table (page 2). #### Questions: (a) n = ___ (Round up to the nearest integer.) <div> <button>Help me solve this</button> <button>View an example</button> <button>Get more help ¬</button> <button>Clear all</button> <button>Check answer</button> </div> ### Context: The scenario given focuses on estimating the required sample size for a survey with a specific margin of error and confidence level. Utilizing the standard normal distribution table can help determine the necessary sample size. When no prior estimate is available, a default proportion of 0.5 is commonly used to ensure a conservative and sufficiently large sample size. ### Example Solution: Let's illustrate solving this problem in two steps: 1. Using the previous estimate of 28%. 2. With no prior estimates. For both these calculations, the margin of error (E) is 0.05, and the confidence level is 99%, which corresponds to a z-value obtained from the standard normal distribution table. #### Step-by-Step Calculations (Hypothetical): For detailed guiding on solving such problems, users can click on "Help me solve this" or "View an example" buttons. (Note: This example deliberately does not solve the problem but serves to guide users to detailed resources.) ### User Options: - **Help me solve this:** Step-by-step solution guide. - **View an example:** See a similar solved example. - **Get more help:** Access additional resources or ask for further assistance. - **Clear all:** Reset inputs to start fresh. - **Check answer:** Validate your calculated answer. --- This problem format helps learners practice and understand the necessary statistical methods to estimate sample sizes for surveys within specified confidence levels and margins of error.
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