Question

the two - way frequency table below shows data on having a curfew on school nights and having assigned chores at home for the students in alejandros class.

which of the following statements is true about alejandros class?

choose 1 answer:

the majority of the students have a curfew.

if a student has a curfew, it is most likely that they have chores.

more than half of the students do not have chores and do not have a curfew.

if a student does not have chores, it is most likely that they have a curfew.

Explanation:

Step1: Analyze option A

Total students = 34. Students with curfew = 16. Since \(16<\frac{34}{2} = 17\), majority do not have curfew.

Step2: Analyze option B

Students with curfew = 16. Among them, students with chores = 12. Probability \(P=\frac{12}{16}=\frac{3}{4}\).

Step3: Analyze option C

Students without chores and curfew = 10. \(\frac{10}{34}\approx0.294<0.5\)

Step4: Analyze option D

Students without chores = 14. Among them, students with curfew = 4. Probability \(P = \frac{4}{14}=\frac{2}{7}\approx0.286\)

Answer:

B. If a student has a curfew, it is most likely that they have chores.