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A marketing firm wanted to estimate the proportion of protected homes. it chose a random sample...

A marketing firm wanted to estimate the proportion of protected homes. it chose a random sample of 200 homes. and found that 53 had home security systems, Estimate the true proportion of homes with security systems with a 99% confidence
Math   Statistics-And-Probability   
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Answer #1

We have given,          
          
x=53      
n=200      
Estimate for sample proportion=   0.265
Z critical value(using Z table)=2.58  
Confidence interval formula is  


=(0.1845,0.3455)      
          
Lower limit for confidence interval=0.1845
          
Upper limit for confidence interval=0.3455

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