Answer:
[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]
Step-by-step explanation:
250 people are surveyed. 15 of them do not like pizza, then
250 - 15 = 235 like pizza.
30% do not like burritos. 30% of 250 is
[tex]250\cdot 0.3=75[/tex] people which do not like burritos and 250 - 75 = 175 people like burritos.
Then the incomplete two way frequency table is
[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&&&175\\\text{Do not like burritos}&&&75\\ \text{Total}&235&15&250\end{array}[/tex]
66% like pizza and burritos. Then
[tex]250\cdot 0.66=165[/tex] people like pizza and burritos.
Hence,
[tex]235-165=70[/tex] people like pizza and do not like burritos
[tex]175-165=10[/tex] people like burritos and do not like pizza
[tex]250-165-70-10=5[/tex] people do not like pizza and do not like burritos
Hence the complete two way frequency table is
[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]
