Furniture Land South surveyed 600 consumers and found that 414 were enthusiastic about a new home décor they plan to show in their store in Los Angeles, California. Construct the 99 percent confidence interval for the population proportion.
a. Between 0.641 to 0.739
b. Between 0.741 to 0.801
c. Between 0.841 to 0.874
d. Between 0.941 to 0.985