\begin{tabular}{|l|c|c|c|}
\cline { 2 - 4 } & Internet & \begin{tabular}{c}
Not \\
Internet
\end{tabular} & Total \\
\hline TV & 30 & 5 & 35 \\
\hline Not TV & 11 & 4 & 15 \\
\hline Total & 41 & 9 & 50 \\
\hline
\end{tabular}

Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true?

A. More students do both activities at [tex]$A$[/tex] than at [tex]$B$[/tex].
B. More students watch TV at [tex]$B$[/tex] than at [tex]$A$[/tex].
C. More students do neither activity at [tex]$B$[/tex] than at [tex]$A$[/tex].
D. More students were surveyed at [tex]$A$[/tex] than at [tex]$B$[/tex].



Answer :

To determine which statement is true based on the data, we need to carefully examine the information provided and analyze it step by step.

1. Total Number of Students Surveyed at School A:
- The table gives us the appropriate totals:
- Students who watch TV and use the Internet: 30
- Students who watch TV and do not use the Internet: 5
- Students who do not watch TV and use the Internet: 11
- Students who do not watch TV and do not use the Internet: 4
- Adding these numbers gives the total students surveyed at School A:
[tex]\[ 30 + 5 + 11 + 4 = 50 \][/tex]

2. Comparing Statements:
- "More students do both activities at A than at B."
- We need data from School B to verify. (Unfortunately, we don't have data from School B in our current question.)
- "More students watch TV at B than at A."
- The table shows 35 students watch TV at School A.
- Without data from School B, we can't verify this statement.
- "More students do neither activity at B than at A."
- The table shows 4 students do neither activity at School A.
- Again, without data from School B, we can't verify this statement.
- "More students were surveyed at A than at B."
- Total students surveyed at School A is 50.
- Without data from School B, we can't verify this statement.

Since we don't have the necessary data from School B, we can't confirm any direct comparisons between School A and School B. However, based on the total number of students surveyed at School A (which is 50), we can assert the accuracy of this specific count.

Therefore, if there were an implication or context provided that the other school had fewer than 50 students surveyed, the last statement would be true. However, since no explicit data from School B is presented here, we cannot conclude definitively about the statements comparing to School B.

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