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 4170 patients aged 8-30 admitted to U.S. emergency rooms with the Consumer Product Safety Commission code "weightlifting" were obtained. These injuries were further classified as "accidental" if caused by dropped weight or improper equipment use. Of the 4170 weightlifting injuries, 1540 were classified as accidental Give a 90% confidence interval for the proportion of weightlifting injuries in this age group that were accidental. Follow the four-step process. (Round your answers to three decimal places.) to

Explanation / Answer

Solution:- p = x/n = 1540/4170 = 0.3693 , q = 0.6307 , n = 4170

90% confidence interval for the Z score is 1.645

90% confidence interval for the proportion = p +/- Z * sqrt(pq/n)

= 0.3693 +/- 1.645 * sqrt(0.3693*0.6307/4170)

= (0.3570 ,  0.3816)

= (0.357 , 0.382) rounded

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