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. In the sample, 55 students said that they recycle. Is this convincing evidence that more than half of the students at the school would say they regularly recycle?

The Fathom dotplot 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) Explain why the sample result does not give convincing evidence that more than half of the school’s students recycle.

(b) Suppose instead that 63 students in the class’s sample had said “Yes.” Explain why this result would give strong evidence that a majority of the school’s students recycle.

Transcribed Image Text:

000000000 0000 00 000000 0000000000000 00000000000000000000 0000000000000 0000- 00000000 |0000000 000 0000 000000 00 0000000 000000000000 00000000 00000000 0000000 0.55 000 0.60 0.65 Proportion who say "Yes" 0.35 0.40 0.45 0.50