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In: Statistics and Probability

In a random sample of 1500 US adults, 780 of them are “Thriving” which is defined...

In a random sample of 1500 US adults, 780 of them are “Thriving” which is defined as rating their current life as 7 or higher on a 10-point scale and rating their future life as 8 or higher on a 10-point scale. Find and interpret a 99% confidence interval for the proportion of all US adults who are thriving (based on this definition.)

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Expert Solution

We have given here,              
              
x=780          
n=1500          
Estimate for sample proportion=   0.52  
Level of significance is =1-0.99=0.01      
Z critical value(using Z table)=2.576      
              
Confidence interval formula is              


=(0.4868,0.5532)
              
Lower limit for confidence interval=0.4868  
              
Upper limit for confidence interval=0.5532  

We are 99% confidennt that population proportion of all US adults who are thriving is between 0.4868 to 0.5532  


orchestra answered 2 years ago
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