A survey of 480 high school students found that 37% had a pet. Find the margin of error?

round to the nearest percent. Use the margin of error to find an interval that is likely to contain the true population of proportion.

A survey of 480 high school students found that 37% had a pet. Find the margin of error?
POPULATION PROPORTION, CONFIDENCE INTERVAL, NORMAL DISTRIBUTION





95% CONFIDENCE INTERVAL p +/- (z critical value) * SQRT[p * (1 - p)/n]





p = SAMPLE PROPORTION [0.37] (37%)


z critical value [1.645]


n = SAMPLE SIZE [480]





95% CONFIDENCE INTERVAL = 0.37+/- 1.645 *


SQRT [ 0.37 * (1 - 0.37)/480] = [0.334 , 0.406]


(33.4% , 40.6%)

toe shoe mesh