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 Alejandro's class. Which one of the statements are true about the graph

A)The majority of the students have a curfew.
B)If a student has a curfew, it is most likely that they have chores.
C)More than half of the students do not have chores and do not have a curfew.
D)If a student does not have chores, it is most likely that they have a curfew.

Answer 1

b

Explanation:

Answer 2

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

Explanation:

Let's look at the statements:

A: 16 of 34 students have a curfew. That is not a majority.

B: Of the 16 students with a curfew, 12 have chores. 12/16 is a higher ratio than 4/16, the proportion that don't have chores. (TRUE)

C: There are 10 of the 34 that don't have chores and don't have a curfew. That is not more than half.

D: Of the 14 students that don't have chores, 4 have a curfew. 4/14 is a smaller ratio than 10/14, the proportion that don't have a curfew.

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Only statement B is true.