Chapter 5: Q 23. (page 296)
Recycling Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. How many students in the sample would need to say 鈥淵es鈥 to provide convincing evidence that more than half of the students at the school recycle? The Fathom dot plot below shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50.
(a) Suppose 55 students in the class鈥檚 sample say 鈥淵es.鈥 Explain why this result does not give convincing evidence that more than half of the school鈥檚 students recycle.
(b) Suppose 63 students in the class鈥檚 sample say 鈥淵es.鈥 Explain why this result gives strong evidence that a majority of the school鈥檚 students recycle.

Short Answer
Part (a) There isn't enough information to back up the assertion that more than half of the students at the school recycle.
Part (b) There is enough information to support the allegation that more than half of the students at the school recycle.
