Question

the basketball team surveyed the student body at their school to collect data on the attendance at their last game. the results are shown in the table. using these data, determine which statements are true. select all that apply.

	boys	girls	total
did not attend game	170	79	249
total	425	175	600

• about 55% of the girls surveyed attended the last game.
• of the students surveyed, about 40% were boys who did not attend the game.
• girls made up about 29% of those surveyed.
• there is evidence to support this conclusion: girls were much less likely than boys to attend the last basketball game.
• about 27% of attendees at the last game were girls.

Explanation:

Step1: Calculate the percentage of girls who attended

The formula for percentage is $\frac{\text{number of girls who attended}}{\text{total number of girls}}\times100\%$.
Substitute the values: $\frac{96}{175}\times100\%\approx54.86\%\approx55\%$.

Step2: Calculate the percentage of boys who did not attend among all surveyed students

The formula is $\frac{\text{number of boys who did not attend}}{\text{total number of surveyed students}}\times100\%$.
Substitute the values: $\frac{170}{600}\times100\%\approx28.33\%
eq40\%$.

Step3: Calculate the percentage of girls in the survey

The formula is $\frac{\text{total number of girls}}{\text{total number of surveyed students}}\times100\%$.
Substitute the values: $\frac{175}{600}\times100\%\approx29.17\%\approx29\%$.

Step4: Calculate the percentage of girls among attendees

The formula is $\frac{\text{number of girls who attended}}{\text{total number of attendees}}\times100\%$.
Substitute the values: $\frac{96}{351}\times100\%\approx27.35\%\approx27\%$.

Step5: Calculate the probability of boys and girls attending

The probability of boys attending is $\frac{255}{425} = 0.6$, and the probability of girls attending is $\frac{96}{175}\approx0.55$. Since $0.6>0.55$, girls were less likely to attend.

Answer:

• About 55% of the girls surveyed attended the last game.
• Girls made up about 29% of those surveyed.
• There is evidence to support this conclusion: Girls were much less likely than boys to attend the last basketball game.
• About 27% of attendees at the last game were girls.