Below is a contingency table about product brands and customers' feedback: a. If a review is "Aesthetic", what is the most likely brand being reviewed? Why? b. Which brand has the highest likelihood to be reviewed as "Economic"? c. Suppose that one of every 1000 people in a certain population has a particular disease, which displays no symptoms. A blood test is available for screening for this disease. For a person who has this disease, the test always turns out positive. For a person who does not have the disease, however, there is a 1% false positive rate--in other words, for such people, 99% of the time the test will turn out negative, but 1% of the time the test will turn out positive and will incorrectly indicate that the person has the disease. Let p be the probability that a person who is chosen at random from this population and gets a positive test result actually has the disease. What is the value of p? What is the recall rate and precision rate? Show your computation for both problems

 

Contingency Table Attributes Brands Tasty Aesthetic Economic Butterbeer 5 7 2 Squishee 18 46 20 Slurm 19 29 Fizzy Lifting Drink 12 229 39 40 49 Brawndo 3 7 16