Answer to Question #311210 in Statistics and Probability for wiwili

Question

The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 164 teens, 134 reported having more than 100 followers on Twitter. Find the lower bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter. 

Answer 1

The sample proportion is computed as follows, based on the sample size N = 164

and the number of favorable cases X = 134.

sample proportion =,$\widehat{p}=\frac{x}{N}=\frac{134}{164}=0.817$ and $Z^*$ =1.645 for 90% confidence

Lower bound = $\widehat{p}-Z^*(\sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}})$

= $0.817-1.645*(\sqrt{\frac{0.817(1-0.817)}{164}})$

= 0.767