Answered: K The brand manager for a brand of…

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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Transcribed Image Text:**Title: Determining Sample Size for Brand Recognition Survey** **Overview:** The brand manager for a toothpaste company is tasked with planning a campaign to enhance brand recognition. The goal is to ascertain the percentage of adults familiar with the brand. To achieve a 95% confidence level that the estimate is within six percentage points of the true population percentage, the sample size needs to be calculated. Follow the steps detailed below to complete the task. **Instructions:** **(a) Calculate the required sample size:** - **Assumption:** No prior information is available about the percentage of adults who know the brand. - **Formula Definition:** When no previous estimates (such as a pilot survey result) are available, use the conservative estimate of 50% (0.5) for maximum variability. - **Confidence Level:** 95% - **Margin of Error:** 6 percentage points or 0.06 **Determine n =** [Calculation Required] Round up to the nearest integer. **Objective:** - Calculate the sample size needed to ensure the survey's accuracy in estimating brand awareness within the specified margin of error and confidence level. **Explanation:** - This task involves statistical methods to define the appropriate number of survey participants, ensuring the findings are reliable and applicable to the entire population.

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