Question

Will there be a time when hiring decisions will be done using a computer algorithm, and without any human involvement? A survey found that 60% of the adults surveyed were worried about the development of algorithms that can evaluate and hire job candidates. To check this claim, a random sample of n = 100 U.S. adults was selected, with 55 saying they were worried about this issue.

(a) Construct a 98% confidence interval for the true proportion of adults that are worried about being "hired by a robot." (Round your answer to three decimal places.)

_______ to _______

Answer 1

We have given,              
              
x=55          
n=100          
Estimate for sample proportion=   0.55  
Level of significance is =1-0.98=0.02      
Z critical value(using Z table)=2.326      
              
Confidence interval formula is              


=(0.434,0.666)

              
Lower limit for confidence interval=0.434  
              
Upper limit for confidence interval=0.666