Question

the two - way frequency table shows the results of a survey at a school. students responded to the question \do you play any sports?\ decide if the following statement is true or false. fewer girls than boys play sports. the statement is (square) because (square) girls play sports and (square) boys play sports.

Explanation:

Step1: Find number of girls who play sports

From the table, under "Yes" and "Girls", the number is 19.

Step2: Find number of boys who play sports

From the table, under "Yes" and "Boys", the number is 27.

Step3: Compare the two numbers

We compare 19 (girls) and 27 (boys). Since 19 < 27, the statement "Fewer girls than boys play sports" is true? Wait, no, wait. Wait, the statement is "Fewer girls than boys play sports". Wait, girls who play sports: 19, boys who play sports: 27. So 19 is less than 27, so fewer girls than boys play sports? Wait, but the question is to decide if the statement is true or false. Wait, maybe I misread. Wait, the table:

Sports | Gender | Boys | Girls | Total
--- | --- | --- | --- | ---
Play Sports? | Yes | 27 | 19 | 46

No	18	23	41
Total	45	42	87

So number of boys who play sports: 27, number of girls who play sports: 19. So 19 < 27, so fewer girls than boys play sports. Wait, but the problem says "Decide if the following statement is true or false: Fewer girls than boys play sports." So the statement is true? Wait, but the original problem's first box is "The statement is [ ] because [ ] girls play sports and [ ] boys play sports." Wait, maybe I made a mistake. Wait, let's re-express:

Number of girls who play sports: 19 (from "Yes" column, "Girls" row)
Number of boys who play sports: 27 (from "Yes" column, "Boys" row)

So 19 girls play sports, 27 boys play sports. So 19 < 27, so fewer girls than boys play sports. So the statement is true. Wait, but the problem's first box is "The statement is [ ] because [ ] girls play sports and [ ] boys play sports." So the first box: true, then "because 19 girls play sports and 27 boys play sports."

Wait, maybe the original problem was miswritten, but according to the table, girls who play sports: 19, boys:27. So 19 <27, so fewer girls than boys play sports, so the statement is true.

Answer:

The statement is true because 19 girls play sports and 27 boys play sports.