Question

The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 192 teens, 68 reported having more than 100 followers on Twitter. Find the upper bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter. 

Answer 1

$p=\frac{68}{192}=0.3542.$

$UB=p+z_{0.05}\sqrt{\frac{p(1-p)}{n}}=0.3542+1.645\sqrt{\frac{0.3542(1-0.3542)}{192}}=0.7652.$