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 4130 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 4130 weightlifting injuries, 1500 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.)

Answer: _______ to _______

Answer 1

We have given,              
              
x=1500          
n=4130          
Estimate for sample proportion=   0.3632  
Level of significance is =1-0.90=0.1      
Z critical value(using Z table)=1.645      
              
Confidence interval formula is              


=(0.351,0.376)