Researchers studied a random sample of high school students whoparticipated in interscholastic athletics to learn about the riskof lower-extremity injuries (anywhere between hip and toe) forinterscholastic athletes. Of 998 participants in girls' soccer, 77experienced lower-extremity injuries. Of 1660 participants in boys'soccer, 159 experienced lower-extremity injuries.
Write a two-way table of observed counts for gender and whethera participant had a lower-extremity injury or not.
| Gender | Had Injury | No Injury | Total |
| Girls | | | |
| Boys | | | |
| Total | | | |
(b) Determine a two-way table of expected counts for these data.(Round the answers to one decimal place where it is needed.)
| Gender | Had Injury | No Injury | Total |
| Girls | | | |
| Boys | | | |
| Total | | | |
(c) Show calculations verifying that the value of the chi-squarestatistic is 2.67. Chi-square = (77-88.6)2/ + (921- )2/909.4 + (-147.4)2/147.4 + (1501- )2/ = 1.52 + 0.15 + + 0.09 = 2.67
