To determine the probability that a person chosen at random from this survey prefers pizza, given that they are female, we can break down the problem into the following steps:
1. Calculate the total number of females in the survey:
The number of females who prefer chicken is 219, the number of females who prefer burgers is 192, and the number of females who prefer pizza is 119.
[tex]\[
\text{Total Females} = 219 + 192 + 119 = 530
\][/tex]
2. Identify the number of females who prefer pizza:
According to the table, 119 females prefer pizza.
3. Calculate the conditional probability:
The conditional probability that a person prefers pizza given that they are female is the ratio of the number of females who prefer pizza to the total number of females.
[tex]\[
P(\text{Pizza}|\text{Female}) = \frac{\text{Number of females who prefer pizza}}{\text{Total number of females}}
\][/tex]
Substituting the numbers:
[tex]\[
P(\text{Pizza}|\text{Female}) = \frac{119}{530} \approx 0.22452830188679246
\][/tex]
4. Convert the probability to a percentage and round to the nearest tenth:
To convert the probability to a percentage, multiply by 100:
[tex]\[
0.22452830188679246 \times 100 \approx 22.452830188679246
\][/tex]
Rounding this to the nearest tenth gives:
[tex]\[
22.5\%
\][/tex]
Therefore, the probability that a randomly chosen person from the survey prefers pizza, given that they are female, is approximately [tex]\( 22.5\% \)[/tex].
Thus, the correct answer is:
[tex]\[
\boxed{22.5\%}
\][/tex]
