Question

the manager of a juice bar polled 56 random customers to get feedback on a new smoothie. the results are shown in the frequency table.

	like	dislike	total
child	18	9	27
total	41	15	56

complete the statements using the table.
the number of children who disliked the smoothie is dropdown.
the total number of children is dropdown.
the conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately dropdown with options 33%, 48%, 60%, 66%.

Explanation:

First Statement: Number of children who disliked the smoothie

Step1: Locate the "Child" row and "Dislike" column in the table.

The value at the intersection of "Child" row and "Dislike" column is 9.

Step1: Find the "Total" column for the "Child" row.

The value in the "Total" column of the "Child" row is 27.

Step1: Recall the formula for conditional relative frequency: $\frac{\text{Number of children who disliked}}{\text{Total number of children}}$.

Step2: Substitute the values: $\frac{9}{27}$.

Step3: Simplify $\frac{9}{27} = \frac{1}{3} \approx 0.3333$, which is 33%.

Answer:

9

Second Statement: Total number of children