The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within six percentage points of the true population?

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Answer to a math question The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within six percentage points of the true population?

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Miles

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Margin of error: ME = 0.06 Sample proportion: p^ = 0.5 as nothing is given to us alpha = 1 - c = 1-0.95 = 0.05 critical value = 1.96 n=\frac{1.96^2\cdot0.5\cdot\left(1-0.5\right)}{0.06^2}=\:\:267

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