In 2003 the Harris Poll reported results of a survey about religious beliefs. Of 2201 American adults surveyed, 27% believed in reincarnation. Treating this as a random sample, a 95% confidence interval for the population proportion of American adults believing in reincarnation is (0.25, 0.29). Without doing any calculation, explain how the interval would change if the sample size had been only a fourth as large, n = 550.