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 4180 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 4180 weightlifting injuries, 1510 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 X to You may need to use the appropriate Appendix Table to answer this question. eBook

Explanation / Answer

#1.

#2.

H0: p = 0.5
H1: p not equals 0.5

pcap = 170/290 = 0.5862

z = (0.5862 - 0.5)/sqrt(0.5*0.5/290) = 2.9359

p-value = 0.0033

Reject null hypothesis
There are significant evidence against equal probabilities

n 4180 p 0.361244019 z-value of 90% CI 1.6449 SE = sqrt(p*(1-p)/n) 0.00743 ME = z*SE 0.01222 Lower Limit = p - ME 0.34902 Upper Limit = p + ME 0.37347 99% CI (0.349 , 0.3735 )

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