a group of 200 students were asked whether they have a curfew and whether they have chores at home. their…

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.\n| |have chores|dont have chores|\n|--|--|--|\n|have a curfew|29|33|\n|dont have a curfew|61|77|\n(a) what percentage of the students have a curfew? %\n(b) what percentage of the students dont have chores? %\n(c) what percentage of the students who dont have chores have a curfew? %\n(d) is there evidence that students who dont have chores tend to have a curfew more often than average?\nno, because the percentage found in part (c) is about the same as the percentage found in part (a).\nno, because the percentage found in part (c) is about the same as the percentage found in part (b).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (a).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (b).

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.\n| |have chores|dont have chores|\n|--|--|--|\n|have a curfew|29|33|\n|dont have a curfew|61|77|\n(a) what percentage of the students have a curfew? %\n(b) what percentage of the students dont have chores? %\n(c) what percentage of the students who dont have chores have a curfew? %\n(d) is there evidence that students who dont have chores tend to have a curfew more often than average?\nno, because the percentage found in part (c) is about the same as the percentage found in part (a).\nno, because the percentage found in part (c) is about the same as the percentage found in part (b).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (a).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (b).

Answer

Explanation:

Step1: Calculate total students with curfew

The number of students with a curfew is (29 + 33=62).

Step2: Calculate percentage of students with curfew

The percentage of students with a curfew is (\frac{62}{200}\times100 = 31%).

Step3: Calculate total students without chores

The number of students without chores is (33 + 77 = 110).

Step4: Calculate percentage of students without chores

The percentage of students without chores is (\frac{110}{200}\times100=55%).

Step5: Calculate number of students without chores and with curfew

The number of students without chores and with a curfew is (33).

Step6: Calculate percentage of students without chores and with curfew

The percentage of students without chores and with a curfew is (\frac{33}{110}\times 100 = 30%).

Step7: Analyze part (d)

The percentage of students with a curfew (part a) is (31%) and the percentage of students without - chores and with a curfew (part c) is (30%). Since they are about the same, there is no evidence that students who don't have chores tend to have a curfew more often than average.

Answer:

(a) 31 (b) 55 (c) 30 (d) No, because the percentage found in part (c) is about the same as the percentage found in part (a).