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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

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.

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