I.11 Find the margin of error. On April 24, 2015, “Bruce Jenner—The Interview” was aired. The interview was between Diane Sawyer and Bruce Jenner and discussed Jenner’s experience as a transgender person. Jenner came out to the public as Caitlyn Jenner on June 1, 2015. An NBC News Online Survey asked a national sample of 2153 adults aged 18 and over, “Caitlyn Jenner, the transgender Olympic champion formerly known as Bruce Jenner, recently revealed her transition on the cover of Vanity Fair. Do you think Caitlyn Jenner’s public transition will help society become more accepting of transgender people?” Twenty percent of those surveyed replied that Jenner’s public transition “will help a lot,” while 46% responded “will help a little.”
(a) What is the population for this 2015 survey? (Hint: See pages 8–10.)
(b) Assuming the 2015 survey used random sampling, use the quick and approximate method to find a margin of error. Then give a complete confidence statement for a conclusion about the population. (Hint: See pages 45–47.)