Rickets Vitamin D, whether ingested as a dietary supple-ment or produced naturally when sunlight falls on the skin, is essential for strong, healthy bones. The bonedisease rickets was largely eliminated in England duringthe 1950s, but now there is concern that a generation ofchildren more likely to watch TV or play computer gamesthan spend time outdoors is at increased risk. A recentstudy of 2700 children randomly selected from all parts ofEngland found 20% of them deficient in vitamin D.a) Find a 98% confidence interval.b) Explain carefully what your interval means.c) Explain what “98% confidence” means.

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Rickets Vitamin D, whether ingested as a dietary supple-
ment or produced naturally when sunlight falls on the
skin, is essential for strong, healthy bones. The bone
disease rickets was largely eliminated in England during
the 1950s, but now there is concern that a generation of
children more likely to watch TV or play computer games
than spend time outdoors is at increased risk. A recent
study of 2700 children randomly selected from all parts of
England found 20% of them deficient in vitamin D.
a) Find a 98% confidence interval.
b) Explain carefully what your interval means.
c) Explain what “98% confidence” means.
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