Question

Assume that the recent survey suggest that about 88% of adults have heard of the brand

Answer 1

80

Explanation:

Given:

• Margin of error = 0.06

,

• Confidence Level = 90%

We want to find the sample size.

In order to determine the sample size, we use the formula below:

`n=\left((z^(*))/(M)\right)^(2) \tilde{p}(1-\tilde{p})`

• Assuming that a recent survey suggests that about 88% of adults have heard of the brand, then, ,p=88% = 0.88,.

,

• For a 90% confidence interval, z=1.645

Substitute these values into the formula:

`\begin{gathered} n=\left((1.645)/(0.06)\right)^2(0.88)(1-0.88) \\ =79.4 \\ n\approx80 \end{gathered}`

The sample size is 80.