To determine the joint relative frequency for mall visitors who like both seafood and meat, let's follow these steps:
1. Identify the total number of mall visitors who like both seafood and meat:
According to the provided two-way frequency table, there are 16 mall visitors who like both seafood and meat.
2. Find the total number of survey respondents:
The total number of survey respondents (mall visitors) is given in the bottom right cell of the table, which is 72.
3. Calculate the joint relative frequency:
The joint relative frequency is found by dividing the number of respondents who like both seafood and meat by the total number of survey respondents. Hence, we have:
[tex]\[
\text{Joint Relative Frequency} = \frac{\text{Number of visitors who like seafood and meat}}{\text{Total number of visitors}}
\][/tex]
[tex]\[
\text{Joint Relative Frequency} = \frac{16}{72}
\][/tex]
4. Simplify the fraction if needed:
In this case, [tex]\( \frac{16}{72} \)[/tex] simplifies to [tex]\( 0.2222222222222222 \)[/tex].
Therefore, the joint relative frequency for mall visitors who like both seafood and meat is [tex]\( \frac{16}{72} \)[/tex] which numerically equals 0.2222222222222222.
The correct answer is [tex]\( \frac{16}{72} \)[/tex].
