In 2016, a poll reported results of a survey about religious beliefs. Of 3250 adults surveyed, 24% believed in reincarnation. Treating this as a random sample, a 95%

confidence interval for the population proportion believing in reincarnation is (0.225, 0.255). Without doing any new calculation, explain how the interval would change if the sample size had been only a fourth as large, n = 813.