Let's analyze the data provided in the frequency table and fill in the blanks.
1. The number of children who disliked the smoothie:
From the table, we see that among the children, 9 disliked the smoothie. Therefore, the number of children who disliked the smoothie is:
[tex]\[
9
\][/tex]
2. The total number of children:
The table shows that there are a total of 27 children surveyed. Therefore, the total number of children is:
[tex]\[
27
\][/tex]
3. The conditional relative frequency that a customer disliked the new smoothie, given that the person is a child:
This is calculated by dividing the number of children who disliked the smoothie by the total number of children. From the table:
[tex]\[
\text{Conditional Relative Frequency} = \frac{\text{Number of children who disliked}}{\text{Total number of children}} = \frac{9}{27}
\][/tex]
Simplifying this fraction, we get:
[tex]\[
\frac{9}{27} = \frac{1}{3} \approx 0.3333
\][/tex]
Therefore, the statements can be completed as:
- The number of children who disliked the smoothie is [tex]\( 9 \)[/tex].
- The total number of children is [tex]\( 27 \)[/tex].
- The conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately [tex]\( 0.3333 \)[/tex].
