Vitamin​ D, whether ingested as a dietary supplement or produced naturally when sunlight falls upon the​ skin, is essential for​ strong, healthy bones. The bone disease rickets was largely eliminated 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 2900 children randomly selected found 24​% of them deficient in vitamin D. Complete parts a through c below.   ​a) Construct a​ 98% confidence

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Vitamin​ D, whether ingested as a dietary supplement or produced naturally when sunlight falls upon the​ skin, is essential for​ strong, healthy bones. The bone disease rickets was largely eliminated 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

2900

children randomly selected found

24​%

of them deficient in vitamin D. Complete parts a through c below.

 

​a) Construct a​ 98% confidence interval for the true proportion of children who are deficient in vitamin D. Select the correct choice below and fill in any answer boxes within your choice.
 
 
A.
enter your response here,enter your response here
​(Round to three decimal places as​ needed.)
 
B.
The conditions of a confidence interval are not satisfied.
Part 2
​b) Explain carefully what the interval means.
 
 
A.
We are​ 98% confident that the proportion of people deficient in vitamin D falls inside the confidence interval bounds.
 
B.
We are​ 98% confident that the proportion of vitamin D deficiency in a randomly sampled child falls within the confidence interval bounds.
 
C.
We are​ 98% confident that the proportion of children deficient in vitamin D falls inside the confidence interval bounds.
 
D.
We are​ 98% confident that the proportion of children deficient in vitamin D is
0.24.
Part 3
​c) Explain what​ "98% confidence" means.
 
About​ 98% of random samples of size 2900 will produce ____________ that contain the ________ of children deficient in vitamin D 
 
 
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