Employ the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.
a. 0.444 < p < 0.500
b. 0.438 < p < 0.505
c. 0.471 < p < 0.472
d. 0.435 < p < 0.508