Question

the following table summarizes the percent of u.s. who have diabetes and the accuracy of the current medical tests used to detect the disease.

	have diabetes	do not have diabetes	total
test negative	10%	50%
total	45%	55%

what is the ratio of true negatives to false negatives?

Explanation:

Step1: Identify True Negatives and False Negatives

True negatives: People who do not have diabetes and test negative, which is 50%.
False negatives: People who have diabetes but test negative, which is 10%.

Step2: Calculate the Ratio

Ratio of true negatives to false negatives is $\frac{50\%}{10\%} = \frac{50}{10} = 5$. So the ratio is 5:1 (or 5).

Answer:

The ratio of true negatives to false negatives is $\boldsymbol{5:1}$ (or $\boldsymbol{5}$).