Question

250 surveyed. 15 do not like pizza. 66% like pizza and burritos. 30% do not like burritos. Fill in the two way frequency table to show the results of the survey.

Answer 1

`\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}`

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

`250\cdot 0.3=75` people which do not like burritos and 250 - 75 = 175 people like burritos.

Then the incomplete two way frequency table is

`\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}`

66% like pizza and burritos. Then

`250\cdot 0.66=165` people like pizza and burritos.

Hence,

`235-165=70` people like pizza and do not like burritos

`175-165=10` people like burritos and do not like pizza

`250-165-70-10=5` people do not like pizza and do not like burritos

Hence the complete two way frequency table is

`\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}`