Marine was a black Labrador retriever that was trained to detect colorectal cancer by smelling the breath of patients with cancer.In one test to determine how well this dog could detect colorectal cancer, Marine correctly identified a bag containing the breath of a patient with colorectal cancer (from about five bags, with four containing the breath of healthy subjects) in 30 out of 33 trials.What is (the sample proportion) in this situation?
A) 30
B) 33
C) 0.91
D) 0.33

Question

Marine was a black Labrador retriever that was trained to detect colorectal cancer by smelling the breath of patients with cancer.In one test to determine how well this dog could detect colorectal cancer, Marine correctly identified a bag containing the breath of a patient with colorectal cancer (from about five bags, with four containing the breath of healthy subjects) in 30 out of 33 trials.What is  (the sample proportion) in this situation?
A) 30 
B) 33 
C) 0.91 
D) 0.33

Quizplus · Accepted Answer

The sample proportion represents the number of successful trials out of total trials. In this case, there were 33 total trials and Marine correctly identified the bag with the breath of a patient with colorectal cancer in 30 trials. Therefore, the sample proportion is:

Sample proportion = number of successful trials / total trials
Sample proportion = 30/33
Sample proportion = 0.91

Therefore, the answer is C, 0.91.

Marine Was a Black Labrador Retriever That Was Trained to Detect