In: Statistics and Probability
Fireman's Fund commissioned an online survey of 1,050 wealthy homeowners to find out what they knew about their insurance coverage. Complete parts (a) through (c) below.
(a) When asked whether they knew the replacement value of their home, 62% replied yes. In this case, should Fireman's Fund conclude that more than half of wealthy homeowners know the value of their homes? Find the 95% confidence interval for the parameter of interest.
The 95% confidence interval for the parameter of interest is (__, __). (Round to six decimal places as needed.)
Solution:
n = 1050
p = 0.62
z = 1.96
95% confidence interval = p z
= 0.62 1.96
= 0.62 1.96 * 0.014979
= 0.62 0.029359
= ( 0.590640 , 0.649359)