Question

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 11households turned out the lights and pretended not to be home on Halloween.

(a) Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)

lower limit
upper limit

Answer 1

We have given,          
          
x=11      
n=35      
Estimate for sample proportion=   0.3143
Z critical value(using Z table)=1.645  
Confidence interval formula is  


=>(0.1852,0.4434)  
          
Lower limit for confidence interval=0.1852
          
Upper limit for confidence interval=0.4434