At Westville High School there are 315 seniors and 289 juniors. 65% of the seniors have parking
passes and 42% of the juniors have parking passes. The statistics teacher selects a SRS of 30
seniors and a separate SRS of 30 juniors. Let os - , be the difference in the sample proportions of
seniors and juniors that have parking passes.
d. What is the probability that the difference in sample proportions (senior - junior) of students
with parking passes is greater than 30%?