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 3000 children randomly selected found 20% 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. , (Round to three decimal places as needed.) B. The conditions of a confidence interval are not satisfied. 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 0.2. c) Explain what "98% confidence" means. About 98% of random samples of size 3000 will produce ▼ a true proportion confidence intervals sample means that contain the ▼ number confidence interval true proportion of children that are deficient in vitamin D.
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 3000 children randomly selected found 20% 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. , (Round to three decimal places as needed.) B. The conditions of a confidence interval are not satisfied. 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 0.2. c) Explain what "98% confidence" means. About 98% of random samples of size 3000 will produce ▼ a true proportion confidence intervals sample means that contain the ▼ number confidence interval true proportion of children that are deficient in vitamin D.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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
3000
children randomly selected found
20%
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.
,
(Round to three decimal places as needed.)
The conditions of a confidence interval are not satisfied.
b) Explain carefully what the interval means.
We are 98% confident that the proportion of people deficient in vitamin D falls inside the confidence interval bounds.
We are 98% confident that the proportion of vitamin D deficiency in a randomly sampled child falls within the confidence interval bounds.
We are 98% confident that the proportion of children deficient in vitamin D falls inside the confidence interval bounds.
We are 98% confident that the proportion of children deficient in vitamin D is
0.2.
c) Explain what "98% confidence" means.
About 98% of random samples of size
that contain the
of children that are deficient in vitamin D.
3000
will produce
▼
a true proportion
confidence intervals
sample means
▼
number
confidence interval
true proportion
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