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.

	orange	grape	cranberry	apple	total
children	400	100	50	150	700
total	1,000	600	100	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 $\frac{600}{1,300}$

Explanation:

Step1: Identify relevant values

We want proportion of children who like orange. Number of children who like orange is 400 and total number of children is 700.

Step2: Calculate proportion

Proportion = $\frac{\text{Number of children who like orange}}{\text{Total number of children}}=\frac{400}{700}$

Answer:

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