Question

the table shows the results of a survey of students and their parents the students and their parents were asked if you had 2 hours by yourself would you prefer to read a book or would you prefer to watch TV

Answer 1

We can go through each point:

A) The total amount of people surveyed can be find by adding all the categories result:

`18+32+25+9=84`

A total of 84 people were surveyed.

B) The number of students surveyed can be find by adding only the categories for students:

`18+32=50`

50 students were surveyed.

C) We can see how many parents prefer to watch TV in the category that intersects "parents" and "watch TV". It has a frequency of 9, so there are 9 parents that prefer to watch TV.

D) Explained in point C.

E) We can compare the percentages by adding the categories "Read a book" and "Watch TV" separately, dividing them by the total number of people surveyed and then compare:

`\begin{gathered} \text{Read a book}\longrightarrow p_1=(18+25)/(84)=0.51=51\% \\ \text{Watch TV}\longrightarrow p_2=(32+9)/(84)=0.49=49\% \end{gathered}`

It seems there is no significant difference between the categories.

Answer: The statements that are true are A and C.