Question: Young children need calcium in their diet to support the growth of their bones. One study examined whether or not a sample of children consumed an adequate amount of calcium based on 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 groups. Each child’s calcium intake was classified as meeting or not meeting the guideline. There were 2029 children in the study. Here are the data:

1. Use a 95% confidence interval for the comparison of the extent to which the two age groups of children met the calcium intake requirement.
2. Use a significance test to compare the extent to which the two age groups of children met the calcium intake requirement.
3. Analyze these data using a Chi-squared analysis.
4. Use this example to explain the relationship between the chi-square test and the z test for comparing to proportions.

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