Researchers studied a random sample of high school students who participated in interscholastic athletics to learn...

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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.

GenderHad InjuryNo InjuryTotal
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.)

GenderHad InjuryNo InjuryTotal
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

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In this problem the given data are I Out of 998 girl participants 77 girls became injuredSo number of injured girls 77 and number of not injured girls 921II Out of 1660 boys    See Answer
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