Question

A simple random sample of size

n equals n=300

individuals who are currently employed is asked if they work at home at least once per week. Of the

300

employed individuals​ surveyed,

37

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.

Find lower and upper bound. Round to three decimal places.

Answer 1

We have given,          
          
x=   37      
n=   300      
Estimate for sample proportion=0.1233
Z critical value(using Z table)=2.58  
Confidence interval formula is

=(0.074,0.172)      
          
Lower limit for confidence interval=0.074
          
Upper limit for confidence interval=0.172