In an effort to determine what percent of Americans live on farms, a polling organization selects a random sample of 500 Americans. Of this sample, 26 live on farms. Suppose you computed a 95% confidence interval (you don't have to compute the interval). If you decreased the sample size to 400 persons, how would the margin of error of your interval change?

(a) The interval would increase in width.

(b) The interval would decrease in width.

(c) The width of the interval would not change.

(d) The answer cannot be determined from the information given.

(e) None of the above.