Question

A 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 choresDon't have chores3733Have a curfewDon't have a curfew2827х5?(a) What percentage of the students have a curfew? [%(b) What percentage of the students don't have chores? []%(c) What percentage of the students who don't have chores have a curfew? []%(d) Is there evidence that students who don't 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).

Answer 1

c) we want to calculate the percentage of students with no chores but has curfews

From the table, the total number of students without chores are (33+27) = 60

Out of this 60, 33 has curfews

Thus, the percentage will be;

`(33)/(60)\text{ }*\text{ 100 \% = 55\%}`

d) Here, we want to check if there is an evidence

We proceed as follows;

As we can see, the number of students who do not have chores but with curfew are 33 in number

While those with chores but with curfew are lesser in number

Yes, because the percentage found in part c is greater than B