Question

a group of 200 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 don’t have chores
have a curfew 29 33
don’t have a curfew 61 77
(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: \(29 + 33 = 62\)

Step2: Calculate percentage

Total students: \(200\). Percentage: \(\frac{62}{200} \times 100 = 31\%\)

Step1: Find total students without chores

Students without chores: \(33 + 77 = 110\)

Step2: Calculate percentage

Percentage: \(\frac{110}{200} \times 100 = 55\%\)

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

Step2: Total students without chores: \(110\) (from part b)

Step3: Calculate percentage

Percentage: \(\frac{33}{110} \times 100 = 30\%\) (approx 30, or more precisely 30 as \(33/110 = 0.3\))

Answer:

31

Part (b)