Question

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? more students do both activities at a than at b. more students watch tv at b than at a. more students do neither activity at b than at a. more students were surveyed at a than at b.

Explanation:

Step1: Find number of students doing both in School A

In School A, number of students doing both Internet and TV is 26.

Step2: Find number of students doing both in School B

In School B, number of students doing both Internet and TV is 30. So "More students do both activities at A than at B" is false.

Step3: Find number of students watching TV in School A

In School A, number of students watching TV is \(26 + 12=38\).

Step4: Find number of students watching TV in School B

In School B, number of students watching TV is 35. So "More students watch TV at B than at A" is false.

Step5: Find number of students doing neither in School A

In School A, number of students doing neither is 3.

Step6: Find number of students doing neither in School B

In School B, number of students doing neither (Not Internet and Not TV) is 4. So "More students do neither activity at B than at A" is true.

Step7: Find total number of students surveyed in School A

Total number of students surveyed in School A is \(9 + 26+12 + 3=50\).

Step8: Find total number of students surveyed in School B

Total number of students surveyed in School B is 50. So "More students were surveyed at A than at B" is false.

Answer:

More students do neither activity at B than at A.