In: Statistics and Probability
An insurance company checks police records on 564 accidents selected at random and notes that teenagers were at the wheel in 97 of them. Complete parts a) through d).
a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.
95% CI = ( ____ % , _______% )
(Round to one decimal place as needed.)
We have given here,      
           
       
          
           
   
x=97          
           
n=564          
           
Estimate for sample proportion      
           
       
Level of significance is =1-0.95=0.05  
           
   
Z critical value(using Z table)=1.96      
   

| 95% CI = ( 14.1% , 20.3% ) |