Question

6. You want to conduct a survey asking if the UNG students like the new Student's Center. You would like to establish that with the margin of error 0.05. Use the confidence level of 90%. What should be the minimal size of the sample you will need to use?

Answer 1

z value for 90% CI is 1.645 as P(-1.645<z<1.645)=0.90

Margin of Error is E=0.05 and as p is not given we will take p=0.5

So we will find n using formula of E

$E=z*\sqrt{\frac{pq}{n}}$

So

n = 1.645 *p*q=( 0,05 ma * 0.5 * 0.5 = 270.6025 = 271