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Asked Dec 3, 2019

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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 five

percentage points of the true population percentage? Complete parts (a) through (c) below.

confident that his estimate is within five

percentage points of the true population percentage? Complete parts (a) through (c) below.

a)

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

90%

confident that his estimate is within
five

percentage points of the true population percentage? Complete parts (a) through (c) below.a)Assume that a recent survey suggests that about 80%of adults have heard of the brand.

Step 1

(a)

Given:

Margin of error (*E*) = 0.05

Confidence level = 95%

Here, sample proportion of the adults is not given. Thus, it is taken as 0.5, that is p̂ = 0.5

Step 2

The critical value of *z* at 95% confidence level is 1.96.

The...

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