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|63|21|\n|dont have a curfew|39|77|\n(a) what percentage of the students have a curfew? %\n(b) what percentage of the students have chores? %\n(c) what percentage of the students who have a curfew have chores? %\n(d) is there evidence that students who have a curfew tend to have chores more often than average?\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).\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).

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|63|21|\n|dont have a curfew|39|77|\n(a) what percentage of the students have a curfew? %\n(b) what percentage of the students have chores? %\n(c) what percentage of the students who have a curfew have chores? %\n(d) is there evidence that students who have a curfew tend to have chores more often than average?\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).\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).

Answer

Explanation:

Step1: Calculate total students with curfew

The number of students with a curfew is $63 + 21=84$.

Step2: Calculate percentage of students with curfew

The percentage of students with a curfew is $\frac{84}{200}\times100 = 42%$.

Step3: Calculate total students with chores

The number of students with chores is $63+39 = 102$.

Step4: Calculate percentage of students with chores

The percentage of students with chores is $\frac{102}{200}\times100=51%$.

Step5: Calculate percentage of students with curfew who have chores

The percentage of students with a curfew who have chores is $\frac{63}{84}\times 100 = 75%$.

Step6: Analyze the relationship

Since $75%$ (part - c) is much greater than $51%$ (part - b), students who have a curfew tend to have chores more often than average.

Answer:

(a) 42 (b) 51 (c) 75 (d) Yes, because the percentage found in part (c) is much greater than the percentage found in part (b).