Question

When a company advertises on the​ Internet, the company pays the operators of search engines each time an ad for the company appears with search results and someone clicks on the link. Click fraud is when a computer program pretending to be a customer clicks on the link. An analysis of 1100 clicks coming into a​ company's site during a week identified 165 of these clicks as fraudulent. Complete parts​ (a) through​ (c) below.

Show the​ 95% confidence interval for the population proportion of fraudulent clicks in a form suitable for sharing with a nontechnical audience.

The​ 95% confidence interval for the population proportion is___% to ___%. (Round to one decimal place as​ needed.)(Round to one decimal place as​ needed.)

Answer 1

Ans:

Sample proportion=165/1100=0.15

95% confidence interval for proportion,p

=0.15+/-1.96*sqrt(0.15*(1-0.15)/1100)

=0.15+/-0.021

=(0.129, 0.171)

or (12.9% to 17.1%)

The​ 95% confidence interval for the population proportion is (12.9% to 17.1%)