A marketing manager must decide on the size of the survey sample to be used in order to estimate the proportion of customers who are aware of her brand. She wishes to estimate this proportion to within 7 percentage points with 95% confidence. If the manager guesses that the proportion of aware customers is roughly 21%, what is the size of the sample that must be used? 131 ? X 0% Assume that 4700 customers were sampled, and that the sample proportion of aware customers was found to be 29%. Construct a 95% confidence interval for the population proportion of aware customers. CIlowerbound .2659 CI upperbound .314 ? X 0% ? X 0%

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**Marketing Survey Sample Size and Confidence Interval Estimation**

A marketing manager needs to determine the appropriate size of a survey sample to estimate the proportion of customers aware of her brand. She aims to achieve this estimation with a precision of within 7 percentage points, using a 95% confidence level.

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**Sample Size Estimation**

If the manager estimates that approximately 21% of customers are aware of the brand, what sample size is necessary for the survey?

- **Sample Size Required:** 131

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**Confidence Interval Calculation**

Given that a sample of 4,700 customers has been taken, with 29% identified as brand-aware, the task is to construct a 95% confidence interval for this population proportion.

- **Confidence Interval Lower Bound (CI<sub>lowerbound</sub>):** 0.2659
- **Confidence Interval Upper Bound (CI<sub>upperbound</sub>):** 0.314
Transcribed Image Text:**Marketing Survey Sample Size and Confidence Interval Estimation** A marketing manager needs to determine the appropriate size of a survey sample to estimate the proportion of customers aware of her brand. She aims to achieve this estimation with a precision of within 7 percentage points, using a 95% confidence level. --- **Sample Size Estimation** If the manager estimates that approximately 21% of customers are aware of the brand, what sample size is necessary for the survey? - **Sample Size Required:** 131 --- **Confidence Interval Calculation** Given that a sample of 4,700 customers has been taken, with 29% identified as brand-aware, the task is to construct a 95% confidence interval for this population proportion. - **Confidence Interval Lower Bound (CI<sub>lowerbound</sub>):** 0.2659 - **Confidence Interval Upper Bound (CI<sub>upperbound</sub>):** 0.314
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