5. A survey study, conducted by Harvard University, sent out to 20,669 Americans, asked if they believed in any of four well-known COVID conspiracy theories. 4,134 responded "yes," while all others responded "no." If another 2000 Americans are sampled, assuming the same sampling criteria as the Harvard study:

a) construct a 99% confidence interval for the proportion of Americans who do not believe in COVID conspiracy theories and interpret.