Problem: Is the calcium intake adequate? Young children need calcium in their diet to support the growth of their bones. The institute of Medicine provides guidelines for how much calcium should be consumed by people of different ages. One study examined whether or not a sample of children consumed an adequate amount of calcium based on these guidelines. Because there are different guidelines for children aged 5 to 10 years and those aged 11 to 13 years, the children were classified into these two age groups. Each student's calcium intake was classified as meeting or not meeting the guidelines. There were 2029 children in the study. Here are the data:
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Ages (In years)
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Met requirement
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5 to 10
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11 to 13
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No
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194
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557
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Yes
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861
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417
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Identify the populations, the counts, and the sample sizes for comparing the extent to which the two age groups of children met the calcium intake requirement.
Use a confidence interval for the comparison. Refer to the previous exercise(8.76). Use a 95% confidence interval for the comparison and explain what the confidence interval tells us. Be sure to include a justification for the use of the large-sample procedure for this comparison.