Question

group of 125 students were asked whether they have a curfew and whether they have chores at home. their responses are summarized in the following table.

	have chores	dont have chores
dont have a curfew	28	27

(a) what percentage of the students have a curfew? %
(b) what percentage of the students dont have chores? %
(c) what percentage of the students who dont have chores have a curfew? %
(d) is there evidence that students who dont have chores tend to have a curfew more often than average?

• no, because the percentage found in part (c) is about the same as the percentage found in part (a).
• no, because the percentage found in part (c) is about the same as the percentage found in part (b).
• yes, because the percentage found in part (c) is much greater than the percentage found in part (a).
• yes, because the percentage found in part (c) is much greater than the percentage found in part (b).

Explanation:

Part (a)

Step1: Find total students with curfew

Students with curfew: \( 37 + 33 = 70 \)

Step2: Calculate percentage

Total students: \( 125 \)
Percentage: \( \frac{70}{125} \times 100 = 56\% \)

Step1: Find total students without chores

Students without chores: \( 33 + 27 = 60 \)

Step2: Calculate percentage

Percentage: \( \frac{60}{125} \times 100 = 48\% \)

Step1: Students without chores and with curfew: \( 33 \)

Step2: Total students without chores: \( 60 \) (from part b)

Step3: Calculate percentage

Percentage: \( \frac{33}{60} \times 100 = 55\% \) (approx 55 - 56, close to part a's 56)

Answer:

\( 56\% \)

Part (b)