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During a particular battle a character has 234 critical strikes out of 633 attacks. what is...

During a particular battle a character has 234 critical strikes out of 633 attacks. what is the lower bound for the 99% confidence interval for the proportion of strikes that are critical strikes?
assume that the probability of a critical strike is the same for every attack and that the attacks are independent. Round three decimal places

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Answer #1

We have given,              
              
x=234          
n=633          
Estimate for sample proportion=0.3697  
Level of significance is =1-0.99=0.01      
Z critical value(using Z table)=2.576      
              
Confidence interval lower bound          


=0.320          
Lower limit for confidence interval=0.3203  
              

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