a group of 120 seventh - and eighth - grade students were asked whether they participate in sports or in non…

a group of 120 seventh - and eighth - grade students were asked whether they participate in sports or in non - sports - related activities. the two - way table shows their answers. participation in sports or non - sports\n| | sports | non - sports | total |\n|--|--|--|--| \n| seventh grade | 39 | 24 | 63 |\n| eighth grade | 29 | 28 | 57 |\n| total | 68 | 52 | 120 |\nwhich statement is correct?\ntwenty - nine seventh - grade students chose a sports activity.\ntwenty - eight eighth - grade students chose a sports activity.\ntwenty - four seventh - grade students chose a non - sports activity.\nthirty - nine eighth - grade students chose a non - sports activity.
Answer
Explanation:
Step1: Evaluate the first statement.
The first statement is "Twenty-nine seventh-grade students chose a sports activity." From the table, the number of seventh-grade students who chose a sports activity is found at the intersection of the "Seventh Grade" row and the "Sports" column, which is 39. Since $39 \neq 29$, the first statement is incorrect.
Step2: Evaluate the second statement.
The second statement is "Twenty-eight eighth-grade students chose a sports activity." From the table, the number of eighth-grade students who chose a sports activity is found at the intersection of the "Eighth Grade" row and the "Sports" column, which is 29. Since $29 \neq 28$, the second statement is incorrect.
Step3: Evaluate the third statement.
The third statement is "Twenty-four seventh-grade students chose a non-sports activity." From the table, the number of seventh-grade students who chose a non-sports activity is found at the intersection of the "Seventh Grade" row and the "Non-Sports" column, which is 24. Since $24 = 24$, the third statement is correct.
Step4: Evaluate the fourth statement.
The fourth statement is "Thirty-nine eighth-grade students chose a non-sports activity." From the table, the number of eighth-grade students who chose a non-sports activity is found at the intersection of the "Eighth Grade" row and the "Non-Sports" column, which is 28. Since $28 \neq 39$, the fourth statement is incorrect.
Answer:
Twenty-four seventh-grade students chose a non-sports activity.