Researchers studied a random sample of high school students who participated in interscholastic athletics to learn about the risk of lower-extremity injuries (anywhere between hip and toe) for interscholastic athletes. Of 1002 participants in girls' soccer, 75 experienced lower-extremity injuries. Of 1670 participants in boys' soccer, 151experienced lower-extremity injuries.(a) Write a two-way table of observed counts for gender and whether a 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-square statistic is 1.96.

Chi-square = (75-84.8)2/ + (927- )2/917.3 + ( -141.3)2/141.3 + (1519- )2/ = 1.13 + 0.10 + + 0.06 = 1.96