Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. (25.24) Resistance training is a popular form of conditioning aimed at enhanc

ID: 3315991 • Letter: 1

Question

1. (25.24) Resistance training is a popular form of conditioning aimed at enhancing sports performance and is widely used among high school, college, and professional athletes, although ts use for younger athletes is controversial. A random sample of 4111 patients between the ages of 8 and 30 admitted to U.S. emergency rooms with the injury code "weightlifting obtained. was These injuries were classified as "accidental" if caused by dropped weight or improper equipment use. The patients were also classified into the four age categories "8-13, " 14-18, "19-22," and "23-30." Here is a two-way table of the results ACCIDENTAL NOT ACCIDENTAL 8-13 14-18 19-22 23-30 295 655 239 363 102 916 533 1008 The term in the chi-square statistic for the cell of 14-to 18-year-olds whose injuries were classified as "accidental" is about eBook 593.09 6.463 3.919

Explanation / Answer

The chi-square statistic component of a particular cell for a contingency table is given by (O - E)2/ E where O is the observed frequency of the cell, E is the expected freq. Now E = NiNj/N where Ni and Nj are the marginal frequencies of the particular cell and N is the total freq.

Here we are considering the cell with Age 14-18 and Accidental.

So O = 655.

Ni = 655+916 = 1571

Nj = 295+655+239+363 = 1552

N = 4111

So E = 1571*1552/4111 = 593.09

Hence the chi-sqaure statistic component of the particular cell is = (655-593.09)2/593.09 = 6.463.

So answer is 6.463