Question

A student concluded that, for those in the survey, females are more likely to carry a bookbag than males. Which explanation best supports the student's conclusion?

a. For females, 48 do not carry a book bag, while for males, 63 do not.
b. For females, 27% carry a book bag, while for males, 20% carry a book bag.
c. For females, 54% carry a book bag, while for males, 43% carry a book bag.
d. For females, 57 carry a book bag, while for males, 47 carry a book bag.

Answer 1

The best explanation to support that females are more likely to carry a bookbag than males is that 54% of females carry a book bag, compared to 43% of males.

Step-by-step explanation:

A student concluded that females are more likely to carry a bookbag than males. To support this conclusion, the best explanation is c. For females, 54% carry a book bag, while for males, 43% carry a book bag. This comparison is the most informative because it represents the proportions in a comparable manner. Using percentages allows for an accurate comparison between the two groups regardless of their actual sizes.

Looking at options a and d, these provide raw numbers but do not give us the context for the size of the groups being compared. Option b shows a percentage difference, but the percentages given are smaller than those in option c, suggesting that option c is a typo and the correct percentages are larger, as reflected in option c.