Question

to estimate the next president’s approval rating how many

AutoSave OFF ño su: Home work # 5 Tome Insert Draw Design Layout References » Tell me Share - A A Paste Font Paragraph Styles Dictate Sensitivity Create and Share Request Adobe PDF Signatures 2. To estimate the next president's final approval rating, how many (sample size) people should be sampled with margin of error 3% and 96% confidence level?

Answer 1

2. z value for 96% CI is 2.054 as P(-2.054<z<2.054)=0.96

And Margin of Error is E=0.03

As p is not given we will take p=0.5

So we will find n using formula of E

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

Hence $n=(\frac{z}{E})^2*p*q=(\frac{2.054}{0.03})^2*0.5*0.5=1171.92=1172$