Question

Due: June 25 Problem 1 NOTE: See the "Solution to selected problem chapter10 Chi Square" posted under PRACTICE EXERCISE" in Module IV. Follow the same format to perform chi square Resistance training is a popular form of conditioning aimed at enhancing sport performance and is widely used among high school, college and professional athletes. A random sample of 270 patients of three age groups (adolescents, young adults and older adults) admitted to the emergency rooms with the injury code "weightlifting" was obtained. These injuries were classified as "accidental" if caused by dropped weight or improper equipment use. The data are provided blow Total Accidental Not Age Group accidental 47 12 35 Adolescents 150 85 Young adults 65 73 50 23 Older adults 270 147 123 Total Use the chi square hypothesis testing to test the null hypothesis HO, Is there a significant relationship between age and injury? Write the formula, HO, HI, perform the test (as shown in the PPT presentation slides 12-16). Discuss the results

Answer 1

(1) Null Hypothesis H There is no Alternative Hypothesis H There is a significant relationship between age and injury Let A be Adolescents, A be Young adults, A be Ol der adults, B be Accidental and B be Not acci dental significant relationship between age and injury (48),-(48), (AB,) 2 -ΣΣ Chi-s quare test stati stic i-1 -1 where ABbe the (i, j)" observed frequency (AB,)be the (i,j) expecteded frequency, be the number of rows, andn be the number of columns (48,),-(48,) (48,) Expected 2 Observed ) ((4B,).-(4) (42,) (4)() (4B,) N (47x123 13.5889 35 = 21.4111 8.6244 270 (47x14725.5889 12 -13.5889 7.2163 270 (150x125)68.3333 0.1626 65 -3.3333 270 (147x150)81.6667 3.3333 85 0.136 270 (73x123) 23 33.2556 -10.2556 3.1627 270 (147x73) 39.7444 10.2556 50 2.6463 - 270 (48),- (AB), (4B,) 2 ΣΣ 21.9484 - i-1 -1 The critical value is xo0s)= 5.991. The value of the test statistic = 21.9484 greater than the critical vaule It falls in the rejection region There is an association between the given attributes reject the null hypothesis 01 We There is a significant relationship between age and injury