Question

Please show work so I can understand how to solve thanks

A random sample of 800 adults in Flagstaff found 24 adults who had lost a job in the past year. Find a 95% confidence interval for the true percent of adults in Flagstaff who have lost a job in the past year. Express your results to the nearest hundredth of a percent. .

Answer: to    %

Answer 1

We have given,              
              
x=24          
n=800          
Estimate for sample proportion=0.03  
Level of significance is =1-0.95=0.05      
Z critical value(using Z table)=1.96      
              
Confidence interval formula is              


=(0.0182, 0.0418)

1.82 % to 4.18%