Over the course of a week, an environmental activist randomly stopped 1,200 people on the street and asked whether they were willing to pay higher prices for gas in order to protect the environment. Out of the 1,200 people, 708 of them said they were willing to pay higher prices for gas. With a 99% confidence level (z⋅-score = 2.58), the activist wants to determine a confidence interval for the estimated proportion of people willing to pay higher prices for gas in order to protect the environment. Which confidence interval represents the estimated proportion of people willing to pay higher prices for gas?

a) Between 50.5% and 68.1%
b) Between 53.3% and 64.7%
c) Between 54.2% and 63.8%
d) Between 55.3% and 62.7%