Question

The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 173 teens, 139 reported having more than 100 followers on Twitter. Find the margin of error of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.

Answer 1

$p=\frac{139}{173}=0.8035.$

$ME=1.645\sqrt{\frac{0.8035(1-0.8035)}{173}}=0.0497.$