Answer:
[tex]\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}[/tex]
Step-by-step explanation:
From the Venn diagram:
- have both turtle and fish - 6 participants;
- have only fish - 11 participants;
- have only turtle - 15 participants;
- don't have pets - 12 participants;
So, in total,
6+11+15+12=44 participants took part in survey.
The two-way table looks like
[tex]\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}[/tex]