Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students

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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 dotplot shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50.

0.35 0.40 0.45 0.50 0.55 0.60 0.65 Simulated proportion who say


a. Explain why the sample result (55 out of 100 said “Yes”) 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 convincing evidence that a majority of the school’s students recycle.

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Related Book For  book-img-for-question

The Practice Of Statistics

ISBN: 9781319113339

6th Edition

Authors: Daren S. Starnes, Josh Tabor

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