Question

the following data were collected from a random sample of people, who identified their favorite type of juice. the results are shown in the following two - way table.

	children	adults	total
grape	100	500	600
cranberry	50	50	100
apple	150	150	300
total	700	1,300	2,000

what proportion of the children identified orange as their favorite type of juice?
a. $\frac{400}{1,000}$
b. $\frac{400}{700}$
c. $\frac{400}{2,000}$
d. $\frac{600}{1,300}$
e. $\frac{1,000}{2,000}$

Explanation:

Step1: Identify relevant numbers

We need to find the proportion of children who identified orange as their favorite juice. The number of children who like orange juice is 400, and the total number of children is 700.

Step2: Calculate the proportion

The proportion is calculated as $\frac{\text{Number of children who like orange}}{\text{Total number of children}}=\frac{400}{700}$.

Answer:

B. $\frac{400}{700}$