Resistance training is a popular form of conditioning aimed at enhancing sports

Question

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 its use for younger athletes is controversial. A random sample of 4111 patients aged 8–30 admitted to U.S. 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 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:

What is the number of "accidental" injuries in the sample?

1552

2559    

4111

What is the percent of the 14- to 18-year-olds in the sample whose injuries were classified as "accidental"?

42.2%

74.3%    

41.7%

The percent of the 14- to 18-year-olds in the sample whose injuries were classified as "accidental" is which of the following?

higher than the percent for 23- to 30-year-olds

lower than the percent for 23- to 30-year-olds    

about the same as the percent for 23- to 30-year-olds

What is the expected count of 14- to 18-year-olds whose injuries were classified as "accidental"?

977.91

655    

593.09

What is the term in the chi-square statistic for the cell of 14- to 18-year-olds whose injuries were classified as "accidental"?

6.463

593.09    

3.919

What are the degrees of freedom for the chi-square test for this two-way table?

3

4    

8

Software gives chi-square statistic 2 = 325.459 for this table. From the table of critical values, we can say that the P-value is which of the following?

between 0.0025 and 0.001

between 0.001 and 0.0005    

less than 0.0005

Explanation / Answer

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What is the number of "accidental" injuries in the sample?

Ans: 295 + 655 + 239 + 363 = 1552

What is the percent of the 14- to 18-year-olds in the sample whose injuries were classified as "accidental"?

Ans: 655/(655 + 916) = 41.7%

The percent of the 14- to 18-year-olds in the sample whose injuries were classified as "accidental" is which of the following?

Ans: For 23 - 30 : 363/(363 + 1008) = 26.5%

So, 14 - 18 % is higher than the percent for 23- to 30-year-olds

What is the expected count of 14- to 18-year-olds whose injuries were classified as "accidental"?

Ans: 593.09

What is the term in the chi-square statistic for the cell of 14- to 18-year-olds whose injuries were classified as "accidental"?

Ans: 6.463

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