Let's analyze the problem step by step to determine what Julie actually calculated, and then find the correct answer.
### Analysis of Julie's Calculation
First, let's verify Julie's incorrect calculation. According to the question, Julie calculated a percentage of 70%. To understand this, let’s see what she might have done:
- Julie might have mistakenly used the total number in two categories, specifically college students and comedy.
### Correct Calculation of Conditional Relative Frequency
Next, we want to determine the correct conditional relative frequency for college students who like comedy.
This means we need to find the proportion of college students who like comedy with respect to the total number of college students. This can be found using the following formula:
[tex]\[ \text{Correct Frequency} = \left( \frac{\text{Number of College Students Who Like Comedy}}{\text{Total Number of College Students}} \right) \times 100 \][/tex]
Given:
- Number of college students who like comedy [tex]\( = 28 \)[/tex]
- Total number of college students [tex]\( = 99 \)[/tex]
Using the given data:
[tex]\[ \text{Correct Frequency} = \left( \frac{28}{99} \right) \times 100 \approx 28.28\% \][/tex]
### Conclusion:
Comparing the calculated conditional relative frequency and Julie's calculation:
- Julie calculated the value as [tex]\( 70\% \)[/tex], which is incorrect.
- The correct value for the conditional relative frequency for college students who like comedy is [tex]\( 28.28\% \)[/tex].
Therefore, Julie likely calculated something else, but the correct answer to the conditional relative frequency for college students who like comedy is [tex]\( \boxed{28.28\%} \)[/tex].
