a group of 250 students were asked whether they have a curfew and whether they have chores at home. their…

a group of 250 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|52|63|\n|dont have a curfew|58|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 250 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|52|63|\n|dont have a curfew|58|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

Answer:

(a) 46% (b) 56% (c) 45% (d) No, because the percentage found in part (c) is about the same as the percentage found in part (a).

Explanation:

Step1: Calculate total students with curfew

$52 + 63=115$

Step2: Calculate percentage of students with curfew

$\frac{115}{250}\times100% = 46%$

Step3: Calculate total students without chores

$63+77 = 140$

Step4: Calculate percentage of students without chores

$\frac{140}{250}\times100%=56%$

Step5: Calculate percentage of students without chores and with curfew

$\frac{63}{140}\times 100% = 45%$

Step6: Analyze relationship

Percentage in (a) is 46% and in (c) is 45%. They are approximately equal, so no evidence that students without chores tend to have a curfew more often than average.