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A simple random sample of size n equals 400 individuals who are currently employed is asked...

A simple random sample of size n equals 400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400 employed individuals​ surveyed, 34 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.

The lower bound is

Math   Statistics-And-Probability   
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Answer #1

We have given,          
          
x=34      
n=400      
Estimate for sample proportion
Level of significance is =1-0.99=0.01  
Z critical value(using Z table)=2.58  

Confidence interval formula is          


=(0.0491,0.1209)          
Lower limit for confidence interval=0.0491
  
          

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