Dogs sniffing out cancer. Can dogs detect lung cancer by sniffing exhaled breath samples? In one study, researchers performed 125 trials. In each trial, a sniffer dog smelled five breath samples, consisting of four control samples and one cancer sample. A correct response involved the dog lying down next to the cancer sample.
Collectively, the dogs correctly identified the cancer sample in 110 of these trials. Construct a 95% confidence interval for the true proportion of times these dogs will correctly identify a lung cancer sample.