Question

Suppose a sociologist studying sleep habits of teenagers in the United States randomly surveyed 1873 teenagers of those 297 teenagers had moderate to serve sleep orders what is the value of p?

Answer 1

`\hat{p}=p\pm(√(p(1-p)))/(√(n))\\p=(297)/(1873)=0.1586\\ \hat{p}=0.1586\pm(√(0.1586(1-0.1586)))/(√(1873))\\=0.1586\pm(√(0.1586(0.8414)))/(43.2782)}\\=0.1586\pm(√(0.1334))/(43.2782)}\\=0.1586\pm(0.3653)/(43.2782)}\\=0.1586\pm0.0084`