Answer:
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:
[tex]n=\left(\frac{z^{*}}{M}\right)^{2} \tilde{p}(1-\tilde{p})[/tex]
• 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:
[tex]\begin{gathered} n=\left(\frac{1.645}{0.06}\right)^2(0.88)(1-0.88) \\ =79.4 \\ n\approx80 \end{gathered}[/tex]
The sample size is 80.
