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 nickets was largely eliminated during the 1950s, but now there is concern that a generation of children more key to watch TV or play computer games than spend time outdoors is at increased risk. A healthcare provider took a sample of 450 randomly selected children and found 20% of them were deficient in vitamin D. (a) In this setting, the conditions for inference are met because sample size is large - the number of successes (np) and the number of failures In-Plore both larger than 10 c) What is the number of successes? (1) What is the number of failures? (b) Construct a 94 confidence interval for the true proportion of children who are deficient in vitamin D (ute decimals): (c) How should this intervale interpreted? We are 54% confident that the proportion of the sampled 490 children who deficient in vitamin D falls inside the confidence interval bounds were 94. confident that the true proportion of chridren deficient in vitamin D falls within the confidence interval bounds. We are confident that the proportion of vitamin D deficiency in a randomly sampled child falls within the confidence interval bounds We are confident that the proportion of children deficient in vitamin Dis 2016 (0) Explain what 94% confidence means 544 of random samples of ce 490 will produce that contain the of Chidren that are deficient in vitamin D (6) Does this study show that computer games are the cause of nickets? Yes. Since food manufacturers have increased the amount of vitamin D in their products over the years. It is kely the case that children playing too many computer games has caused the increase in tickets No, the study shows that a change in children's cats over the year is the cause for the increase in riketa Yes, because the bone disease was largely eliminated, and now we are 94 confident that only 20% of children have the eficiency No, confidence intervals doe't address causation 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 nickets was largely eliminated during the 1950s, but now there is concern that a generation of children more key to watch TV or play computer games than spend time outdoors is at increased risk. A healthcare provider took a sample of 450 randomly selected children and found 20% of them were deficient in vitamin D. (a) In this setting, the conditions for inference are met because sample size is large - the number of successes (np) and the number of failures In-Plore both larger than 10 c) What is the number of successes? (1) What is the number of failures? (b) Construct a 94 confidence interval for the true proportion of children who are deficient in vitamin D (ute decimals): (c) How should this intervale interpreted? We are 54% confident that the proportion of the sampled 490 children who deficient in vitamin D falls inside the confidence interval bounds were 94. confident that the true proportion of chridren deficient in vitamin D falls within the confidence interval bounds. We are confident that the proportion of vitamin D deficiency in a randomly sampled child falls within the confidence interval bounds We are confident that the proportion of children deficient in vitamin Dis 2016 (0) Explain what 94% confidence means 544 of random samples of ce 490 will produce that contain the of Chidren that are deficient in vitamin D (6) Does this study show that computer games are the cause of nickets? Yes. Since food manufacturers have increased the amount of vitamin D in their products over the years. It is kely the case that children playing too many computer games has caused the increase in tickets No, the study shows that a change in children's cats over the year is the cause for the increase in riketa Yes, because the bone disease was largely eliminated, and now we are 94 confident that only 20% of children have the eficiency No, confidence intervals doe't address causation